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Finding outputs of a two-step function with decimals that models a real-world situation Online Quiz

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Following quiz provides Multiple Choice Questions (MCQs) related to Finding outputs of a two-step function with decimals that models a real-world situation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers
Q 1 - The amount that Janet has is given by the function A(x) = 0.6x + 12, where x is her allowance in dollars. What is the amount she has if her allowance is $15?

Answer : A

Explanation

Step 1:

Amount with Janet, A(x) = 0.6x + 12; x = $15

Step 2:

A(x) = 0.6x + 12 = 0.6(15) + 12 = 9.0 + 12 = $21

So, A(x) = $21

Q 2 - The money Harry had spent on books is given by the function T(b) = 18 + 6b where b is the cost of one book. How much did he spend if cost of each book is $6?

Answer : C

Explanation

Step 1:

Amount spent on books, T(b) = 18 + 6b; b = $6

Step 2:

T(b) = 18 + 6b = 18 + 6(6) = 18 + 36 = $54

So, T(6) = $54

Q 3 - The number of students who went on a trip to the zoo is given by the function N(s) = 9s +15 where s is the number of students traveling in each bus. How many students went to the zoo if s = 21?

Answer : B

Explanation

Step 1:

No. of students to zoo, N(s) = 9s +15; s = 21

Step 2:

N(s) = 9s +15 = 9(21) + 15 = 189 + 15 = 204

So, N(21) = 204

Q 4 - The sum of three consecutive odd numbers is given by the function S(n) = 3n + 6, where n is the smallest of the three given odd numbers. If n =23, what is the sum of the three consecutive odd numbers?

Answer : D

Explanation

Step 1:

Sum of 3 numbers, S(n) = 3n + 6; n = 23

Step 2:

S(n) = 3n + 6= 3(23) + 6 = 69 + 6 = 75

So, S(23) = 75

Q 5 - Morris rented a truck for one day. There was a base fee of $42. And there was an additional charge of $5 for each mile driven. The total cost in dollars for driving x miles is given by the following function C(x) = 42 + 5x. What is the total cost if Morris drove 20 miles?

Answer : A

Explanation

Step 1:

Cost of travel, C(x) = 42 + 5x; x = 20 miles

Step 2:

C(x) = 42 + 5x = 42 + 5(20) = 42 + 100 = 142

So, C(20) = $142

Q 6 - Park Bike Rentals charges 16 dollars plus 4 dollars an hour for renting a bike. Total amount to be paid is given by the function T(h) = 16 + 4h, where h is the number of hours. What total amount Sandy has to pay if he rented a bike for 5 hours?

Answer : D

Explanation

Step 1:

Cost of Renting, T(h) = 16 + 4h; h = 5 hours

Step 2:

T(h) = 16 + 4h = 16 + 4(5) = 16 + 20 = 36

So, T(5) = $36

Q 7 - A small pond has 900 liters of water to start with. Water is added to the pond at the rate of 40 liters per minute. If water is added for t minutes the total capacity of the pond T is given by T(t) = 900 + 40t. Find the capacity of the pond after a period of 20 minutes.

Answer : C

Explanation

Step 1:

Total capacity of pond, T(t) = 900 + 40t; t = 20 min

Step 2:

T = 900 + 40t = 900 + 40(20) = 900 + 800 = 1700 liters

So, T(20) = 1700 liters

Q 8 - The sum of three consecutive numbers is given by the function S(n) = 3n + 3 where n is the smallest number. If the smallest of the three numbers is 67 what is the sum of the three consecutive numbers?

Answer : B

Explanation

Step 1:

Sum of numbers, S(n) = 3n + 3; n = 67

Step 2:

S(n) = 3n + 3 = 3(67) + 3 = 201 + 3 = 204

So, S(67) = 204

Q 9 - The number of cards Ron has is given by the function T(k) = 0.8k + 15, where k is the number cards in a pack. Find the number of cards Ron has if k = 40?

Answer : A

Explanation

Step 1:

No. of cards, T(k) = 0.8k + 15; k = 40

Step 2:

T(k) = 0.8k + 15 = 0.8(40) + 15 = 32 + 15 = 47

So, T(40) = 47

Q 10 - The number of books Jim has is given by the function T(x) = 0.5x + 20, where x is the number of books he has initially. How many books does he have now, if x = 24?

Answer : C

Explanation

Step 1:

No. of books, T(x) = 0.5x + 20; x = 24

Step 2:

T(x) = 0.5x + 20 = 0.5(24) + 20 = 12 + 20 = 32

So, T(24) = 32

finding_outputs_of_two_step_function_with_decimals_that_models_real_world_situation.htm
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