Finding outputs of a one-step function that models a real-world situation Online Quiz

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Q 1 - Rita tutors math. For each hour she tutors, she earns $40. Her earnings, E(in dollars), after tutoring for k hours is given by following function E(k) = 40k. How much Rita earn if she tutors for 5 hours?

Answer : C

Explanation

Step 1:

Earnings = $40/hour; Tutoring k = 5 hours

Step 2:

Earnings in 5 hours E = 40k = 40 × 5 = $200

Q 2 - The number of books John has is given by the function B(y) = y −16. How many books does John have if y = 30?

Answer : B

Explanation

Step 1:

Number of books = B(y) = y −16; y = 30

Step 2:

Number of books = B(30) = y −16 = 30 −16 = 14

Q 3 - The amount Stacy has is given by A(z) = z + 45. If Stacy has 136 dollars what is the value of z?

Answer : A

Explanation

Step 1:

Amount Stacy has A(z) = z + 45 = 136

Step 2:

z + 45 − 45 = 136 – 45 = 91

So z = 91

Q 4 - After eating at a restaurant, Joe, Tim, and Bunny decided to divide the bill evenly. If the total bill given by the function A(x) = 3x amounted to $135, how much each pay(x)?

Answer : D

Explanation

Step 1:

Total bill amount A(x) = 3x = $135

Step 2:

$\frac{3x}{3}$ = $\frac{$135}{3}$

So x = $45

Q 5 - Mountain Bike Rentals charges $8 an hour for renting a bike. Total amount to be paid is given by the function T(h) = 8h, where h is the number of hours. What total amount Randy has to pay if he rented a bike for 6 hours?

Answer : B

Explanation

Step 1:

Total amount T(h) = 8h; h = 6 hours

Step 2:

T(h) = 8h = 8 × 6 = $48

So T(6) = $48

Q 6 - A plant is 48 inches tall and it grows one inch every month. The plant’s height, H (in inches), after n months is given by the following function H(n) = 48 + n. What is the plant’s height after 21 months?