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

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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