Question
Sue charges $ 15 for the first hour of babysitting and $ 10 for each additional hour, with the fraction of an hour counting as a whole hour. The rates that Vic charges for x hours of babysitting are modeled by the function shown
Select the statements that are correct.
Statement 1: Sue charges more than Vic.
Statement 2: Vic charges more than Sue.
Statement 3: Sue and Vic charge equally.
- Only statement 1
- Only statement 2
- Only statement 3
- Both statements 1 & 3
Hint:
We take an example of hours and calculate the total rate for Sue and Vic both. Then, we conclude with the given option.
The correct answer is: Only statement 1
Step 1 of 1:
Let us take x = 10
Sue: f(x) = 15 + 10×10 = $115
Vic: f(x) = 9.5x = 9.5×10 = $95
Sue charges more for 10 hours of babysitting.
Final Answer:
The right choice is- a. Only statement 1
Related Questions to study
Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?
Know what an absolute function is.
Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?
Know what an absolute function is.
A group of friends eat at Jae’s café. They have an online coupon. The costs of their main courses, before applying the coupon, are $ 13.99, $ 16.99, $ 19.99, and $ 21.99. The total cost of their drinks is $ 12.00. What will their bill be before tax and tip?
A group of friends eat at Jae’s café. They have an online coupon. The costs of their main courses, before applying the coupon, are $ 13.99, $ 16.99, $ 19.99, and $ 21.99. The total cost of their drinks is $ 12.00. What will their bill be before tax and tip?
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -11?
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -11?
Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
which situation is correct when Selena has a certain number of rides?
Statement 1: If she has 22 rides for the month then the total cost is $ 30.5
Statement 2: If she has 26 rides for the month then the total cost is $ 25
Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
which situation is correct when Selena has a certain number of rides?
Statement 1: If she has 22 rides for the month then the total cost is $ 30.5
Statement 2: If she has 26 rides for the month then the total cost is $ 25
What function g describes the graph of f after the given transformation?
f(x) = IxI + 1; translated 3 units down and 2 units left.
Remember how a function changes in different directions.
What function g describes the graph of f after the given transformation?
f(x) = IxI + 1; translated 3 units down and 2 units left.
Remember how a function changes in different directions.
Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Find the vertex of the function. f(x) = Ix + 7I – 2
Find the vertex of the function. f(x) = Ix + 7I – 2
Find the vertex of the function. f(x) = IxI – 2
Find the vertex of the function. f(x) = IxI – 2
The piecewise-defined function f(x) is shown.
f(x) = x + 2 , x ≤ 0
f(x) = 4x , x > 0
What is f(−3)?
The piecewise-defined function f(x) is shown.
f(x) = x + 2 , x ≤ 0
f(x) = 4x , x > 0
What is f(−3)?
Evaluate the following piecewise function for x = -1 and x = 6.
Evaluate the following piecewise function for x = -1 and x = 6.
Find the vertex of the function. f(x) = -3Ix + 1I – 5
Find the vertex of the function. f(x) = -3Ix + 1I – 5
Express the function as a piecewise-defined function.
f(x) = -1.5 IxI
Express the function as a piecewise-defined function.
f(x) = -1.5 IxI
What function has the same graph as f(x) = 4Ix – 2I + 2?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
What function has the same graph as f(x) = 4Ix – 2I + 2?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).