Question
T = 1,000 + 18 h
Where,
T = Brittany's total take-home pay ($) for the first week of work
h = number of hours she worked that week
1,000 = sign-on bonus
If Brittany's total take-home pay was $ 1,576, for how many hours was Brittany paid for her first week of work?
- 16
- 32
- 55
- 88
The correct answer is: 32
Hint:-
Total take-home pay = Number of hours worked * pay per hour
Step-by-step solution:-
Total take-home pay = T = 1,576
∴ 1,000 + 18 h = 1,576 ------------ (As per given information)
∴ 18 h = 1,576 - 1,000
∴ 18 h = 576
∴ h =
∴ h = 32
∴ Brittany was paid for 32 hours for the first week of work
Final Answer:-
Option B i.e. 32 is the correct Option.
Note:
Alternatively, we can directly substitute the values (Number of hours i.e. h) given in options into the equation and check whether we get the answer as 1,576 or not as explained below-
A. 16 hours
∴ T = 1,000 + 18 h
∴ T = 1,000 + 18 (16)
∴ T = 1,000 + 288
∴ T = 1,288 ≠ 1,576
B. 32 hours
∴ T = 1,000 + 18 h
∴ T = 1,000 + 18 (32)
∴ T = 1,000 + 576
∴ T = 1,576
C. 55 hours
∴ T = 1,000 + 18 h
∴ T = 1,000 + 18 (55)
∴ T = 1,000 + 990
∴ T = 1,990 ≠ 1,576
D. 88 hours
∴ T = 1,000 + 18 h
∴ T = 1,000 + 18 (88)
∴ T = 1,000 + 1,584
∴ T = 2,584 ≠ 1,576
No need to solve for Options C & D in exam because we already got the correct answer as B.
Related Questions to study
Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?
Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?
Which of the following complex numbers is equal to is
( 5 + 12i ) – ( 9i2 – 6i ), for i = ?
Which of the following complex numbers is equal to is
( 5 + 12i ) – ( 9i2 – 6i ), for i = ?
For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h ?
For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h ?
x = y – 3
+ 2y = 6
Which ordered pair (x, y) satisfies the system of
equations shown above?
x = y – 3
+ 2y = 6
Which ordered pair (x, y) satisfies the system of
equations shown above?
Tony spends $ 80 per month on public transportation. A 10- ride pass costs $ 12.50, and a single-ride pass costs $ 1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single- ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t?
Tony spends $ 80 per month on public transportation. A 10- ride pass costs $ 12.50, and a single-ride pass costs $ 1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single- ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t?
Which of the following is equivalent to 3 (x + 5) − 6 ?
Which of the following is equivalent to 3 (x + 5) − 6 ?
If 3 (3x + 5) = 2x - 8 , what is the value of x ?
If 3 (3x + 5) = 2x - 8 , what is the value of x ?
x + = 75 y
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
x + = 75 y
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
ax = 5
In the equation above, a is a constant. For which of the following values of a will the equation have no solution?
ax = 5
In the equation above, a is a constant. For which of the following values of a will the equation have no solution?
Determine the linear function from the data in the table.
A linear equation when plotted on graph gives a line. For such questions, we should know about the slope intercept form.
Determine the linear function from the data in the table.
A linear equation when plotted on graph gives a line. For such questions, we should know about the slope intercept form.
Write a linear function for the data given below.
A linear equation when plotted on graph gives a line. For such questions, we should know about the slope intercept form.
Write a linear function for the data given below.
A linear equation when plotted on graph gives a line. For such questions, we should know about the slope intercept form.
Given function . Find the value of x when
For such questions, we should know about the concept of functions.
Given function . Find the value of x when
For such questions, we should know about the concept of functions.
Write the equation of a line perpendicular to y = 3x - 8 and that passes through the point (-3, -9)
For such questions, we should know different formulas required to find lines. We should also know the concept of slope of different lines.
Write the equation of a line perpendicular to y = 3x - 8 and that passes through the point (-3, -9)
For such questions, we should know different formulas required to find lines. We should also know the concept of slope of different lines.