Question

How do I answer this question on proportions. This is the question: A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. a. Is the relationship between number of turkey subs delivered and amount charged proportional? b. How much does the store change for 1 additional turkey sub?

Answer 1

The relationship between the number of turkey subs delivered and the amount charged is proportional

Explanation:

Given information

The total amount charged by a sandwich store to deliver 3 turkey subs is $20

The total amount charged by a sandwich store to deliver 4 turkey subs is $26

To determine whether the relationship is proportional, we need to determine the amount to deliver one turkey sub

Let r represents the rate for delivering a turkey sub

To calculate the rate, we will need to apply the below formula

`\text{The total amount of turkey sub in \$ = rate }*\text{ number of turkey sub}`
`\begin{gathered} 20\text{ = r }*\text{ 3} \\ 20\text{ = 3r} \\ \text{Divide both sides by 3} \\ (20)/(3)\text{ = }(3r)/(3) \\ r\text{ = \$6.667/turkey sub} \end{gathered}`

Since the rate of delivering a turkey sub is $6.667/turkey sub, then, we can now find the amount in dollars to deliver 4 turkey subs

`\begin{gathered} \text{Amount in dollars = rate x number }of\text{ turkey subs} \\ \text{Amount in dollars = 6.67 x 4} \\ \text{Amount in dollars = \$26.68} \end{gathered}`

From the above calculation, you will see that it will take $26.68 to deliver 4 turkey subs and not $26.

Therefore, the relationship between the number of turkey subs delivered and the amount charged is proportional