Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

For the exponential function f, the table shows some values of x and the corresponding values of f (x). The function can be written in the form $f left parenthesis x right parenthesis equals p r to the power of x$ , where p and r are constants. What is the value of r ?

The correct answer is: 1.33

Given $f left parenthesis x right parenthesis equals p r to the power of x$
Step 1 :- substitute x =0 ,f(x) = 9 in the given equation
$f left parenthesis x right parenthesis equals p r to the power of x not stretchy rightwards double arrow 9 equals p left parenthesis r right parenthesis to the power of 0 not stretchy rightwards double arrow p left parenthesis 1 right parenthesis equals 9$
$therefore p equals 9$
Step 2:-substitute p = 9 at x = 1 and f(x) = 12
$f left parenthesis x right parenthesis equals p r to the power of x not stretchy rightwards double arrow 12 equals 9 left parenthesis r right parenthesis to the power of 1 not stretchy rightwards double arrow 9 left parenthesis r right parenthesis equals 12 not stretchy rightwards double arrow r equals 12 over 9$
∴ r = $12 over 9$ = $4 over 3$ (or) 1.33

Related Questions to study

Number of Contestants by Score and Day

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?

Number of Contestants by Score and Day

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?

A system of two linear equations has no solutions. The graph of one of the equations in the system is shown in the xy - plane.

The second equation in the system is $a x minus y equals 1$ , where a is a constant. What is the value of a ?

A system of two linear equations has no solutions. The graph of one of the equations in the system is shown in the xy - plane.

The second equation in the system is $a x minus y equals 1$ , where a is a constant. What is the value of a ?

If a is the mean and b is the median of nine consecutive integers, what is the value of |a - b|?

If a is the mean and b is the median of nine consecutive integers, what is the value of |a - b|?

parallel

y = -16t² + 64t +80
The equation above gives the height of an object above the ground, y, in feet, t seconds after it is launched from a platform. How many seconds after it is launched does the object reach the ground?

y = -16t² + 64t +80
The equation above gives the height of an object above the ground, y, in feet, t seconds after it is launched from a platform. How many seconds after it is launched does the object reach the ground?

In the figure, triangles ABC and DBE are right triangles. What is $cos invisible function application B$ ?

In the figure, triangles ABC and DBE are right triangles. What is $cos invisible function application B$ ?

I = $V over R$
The formula above is Ohm's law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in Ohms. A circuit has a resistance of 500 ohms, and its potential difference will be generated by n six-volt batteries that produce a total potential difference of 6n volts. If the circuit is to have a current of no more than 0.25 ampere, what is the greatest number, n, of six-volt batteries that can be used?

I = $V over R$
The formula above is Ohm's law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in Ohms. A circuit has a resistance of 500 ohms, and its potential difference will be generated by n six-volt batteries that produce a total potential difference of 6n volts. If the circuit is to have a current of no more than 0.25 ampere, what is the greatest number, n, of six-volt batteries that can be used?

parallel

The histogram summarizes the distribution of a data set composed of 50 integers. The first bar represents the number of integers that are at least 0 but less than 5. The second bar represents the number of integers that are at least 5 but less than 10 , and so on. What is a possible value of the median of the data set?

The histogram summarizes the distribution of a data set composed of 50 integers. The first bar represents the number of integers that are at least 0 but less than 5. The second bar represents the number of integers that are at least 5 but less than 10 , and so on. What is a possible value of the median of the data set?

If $12 x plus 6 equals 4 x plus 8$ what is the value of x ?

If $12 x plus 6 equals 4 x plus 8$ what is the value of x ?

In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the point (2, 2). If the point (20, w) lies on line k, what is the value of w?

In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the point (2, 2). If the point (20, w) lies on line k, what is the value of w?

parallel

Number of Contestants by Score and Day

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
What was the mean score of the contestants on Day 1 ?

Number of Contestants by Score and Day

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
What was the mean score of the contestants on Day 1 ?

In the figure above, tan B = $3 over 4$ . If BC = 15 and DA = 4, what is the length of DE ?

In the figure above, tan B = $3 over 4$ . If BC = 15 and DA = 4, what is the length of DE ?

Several values of x and their corresponding values of y are shown in the table. A linear equation that represents the relationship shown in the table x = k, where k is a constant. What is the value of k ?

Several values of x and their corresponding values of y are shown in the table. A linear equation that represents the relationship shown in the table x = k, where k is a constant. What is the value of k ?

parallel

The equation (x + 6)² + (y + 3)² = 121 defines a circle in the xy-plane. What is the radius of the circle?

The equation (x + 6)² + (y + 3)² = 121 defines a circle in the xy-plane. What is the radius of the circle?

2 , 10 , 3 , 7 , 6
The mean of the list of numbers above is what fraction of the sum of the five numbers?

2 , 10 , 3 , 7 , 6
The mean of the list of numbers above is what fraction of the sum of the five numbers?

y = x² – 4x + 4
y = 4 – x
If the ordered pair (x, y) satisfies the system of equations above, what is one possible value of x ?

y = x² – 4x + 4
y = 4 – x
If the ordered pair (x, y) satisfies the system of equations above, what is one possible value of x ?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.