Explore a diverse range of topics and get expert answers on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

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?

Sagot :

ANSWER

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

STEP-BY-STEP 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

[tex]\text{The total amount of turkey sub in \$ = rate }\times\text{ number of turkey sub}[/tex][tex]\begin{gathered} 20\text{ = r }\times\text{ 3} \\ 20\text{ = 3r} \\ \text{Divide both sides by 3} \\ \frac{20}{3}\text{ = }\frac{3r}{3} \\ r\text{ = \$6.667/turkey sub} \end{gathered}[/tex]

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

[tex]\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}[/tex]

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