Question

Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.

Which statement accurately compares the price per child at the two restaurants?

Question 3 options:

The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

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Answer 1

The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

Explanation:

The missing table in the attached figure

step 1

Find the cost per child at Mr. Bob’s Buffet

we know that

The cost per child or unit rate is the same that the slope of the linear equation

From the graph take two points

(0,0) and (4,60)

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(60-0)/(4-0)`

`m=\$15\ per\ child`

step 2

Find the cost per child at Sally’s Pizza Safari.

From the data in the table

we have

(4,50) and (6,75)

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(75-50)/(6-4)`

`m=\$12.5\ per\ child`

step 3

Verify each statement

case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is true

Because

The cost per child is $15 at Mr. Bob’s Buffet

The cost per child is $12.50 at Sally’s Pizza Safari

The difference is $2.50 per child

case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The statement is false (see the explanation)