Based on the equation above, what is the value of 3x - 2 ?

If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)

The concepts of speed, time, and distance are frequently used in questions about motion in a straight line, circular motion, boats and streams, races, clocks, and so on. Therefore, aspirants should comprehend the interdependence of speed, distance, and time.
Relationship between speed, time, and distance
• Speed = Distance/Time: This indicates how slowly or quickly an object moves. It shows the distance traveled divided by the time taken to cover the distance.
Distance is directly proportional to speed, and time is inversely proportional to speed.
• Distance = Speed x Time, and
• Time = Distance / Speed; as speed increases, the time taken will decrease, and vice versa.
Any basic problem can be solved using these formulas. However, the correct usage of units is also important while using formulas.

Which of the following is the graph of the equation y = 3x - 2 in the x y-plane?

Note:
We can also solve this question by eliminating the options.
The first option A) is not correct because the line passes through the origin and so it must satisfy the equation, which is not true as 0- 2
Then C) is not correct as the line passes through (0, -3), but this point does not satisfy the equation. Similarly, for option D) the point (0, 2) lies on the graph, but does not satisfy the equation.

What is a peregrine falcon's maximum speed while diving to catch prey, in feet per second? (Round your answer to the nearest whole number 1 mile = 5280 feet)

Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees' pollen grains per square centimeter that were deposited each year within layers of a lake's sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1%  annual increase in the number of grains per square centimeter thereafter. Which of the following functions models p(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?

In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at exactly one point. If the parabola has the equation , what is the value of  c ?

The system of equations above is graphed in the xy  -plane. What is the x -coordinate of the intersection  point ( x, y) of the system?

According to the system of equations above, what is the value of X ?

Note:
Here we find the value of y from equation (1) and use it in equation (2).
We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.
Students are encouraged to try this method too.

The scatterplot above shows the number of registered voters, , x and the number of people who voted in
the  last election, y , for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?

The relationship between x and y can be written as y = mx , where m is a constant. If  y = 17 when x =a , what is the value of y when x = 2a ?

700 , 1200 ,1600 , 2000 , x
If the mean of the five numbers above is 1600 , what is the value of  x?

Some values of  x and their corresponding values of  y are shown in the table above, where a is a constant. If there is a linear relationship between x and y, which of the following equations represents the  relationship?

In the triangle above, a = 34. What is the value of b + c ?

Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?

The first year Eleanor  organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If  is the number of people invited to the fund-raiser  years after Eleanor began organizing the event, which of the following statements best describes the function  ?