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



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Questions and Answers
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?

Answer : C

Explanation

Step 1:

Plant height = H(n)= 48 + n; n = 21 months

Step 2:

H(n) = 48 + n = 48 + 21 = 69 inches

So H(21) = 69 inches

Q 7 - The amount Monica has is given by A(x) = x + $64, where x is the cost of a pie. What amount Monica has if x = $8?

Answer : D

Explanation

Step 1:

Amount, A(x) = x + $64; x = $8

Step 2:

A(x) = x + $64 = $8 + $64 = $72

So A(8) = $72

Q 8 - Jane is baking a cake. The recipe calls for C(y) = y + 4 cups of flour. How many cups does she need if y = 6 cups?

Answer : A

Explanation

Step 1:

Cups of flour, C(y) = y + 4 cups; y = 6

Step 2:

C(y) = y + 4 = 6 + 4 = 10

So C(6) = 10 cups

Q 9 - The amount it costs to buy n ink cartridges is given by A(n)=12n. How much it would cost if 8 ink cartridges were bought?

Answer : C

Explanation

Step 1:

Amount, A(n) = 12n; n = 8

Step 2:

A(n) = 12n = 12 × 8 = $96

So A(8) = $96

Q 10 - A number is given by the function N(x) = x + 16, where x is another number. What is the number N if x = 12?

Answer : D

Explanation

Step 1:

Number, N(x) = x + 16; x = 12

Step 2:

N(x) = x + 16 = 12 + 16 = 28

So N(12) = 28

finding_outputs_of_one_step_function_that_models_real_world_situation.htm
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