Question

My niece wanted to create a coverup she saw on Pinterest. It required a square piece of patterned fabric. We found an online store with some bright and fun samples of fabric at a reasonable price. They charge a flat shipping fee of $10 and then $3 per yard.

The formula 3n + 10 = t can be used to determine the total cost of the fabric, where n is the number of yards purchased, and t is the total cost of the fabric

1.1. What is the dependent variable (or write “neither” if there is not one)? _______________
Explain why or why not:

Answer 1

The dependent variable is the total cost "t"

Step-by-step explanation:

The given equation is:

3n + 10 = t

where n is the number of yards and t is the total cost

We have two variables in this equation, n and t

We know that the total cost "t" will depend on the number of yards of fabric she buys

This means that the total cost will change by changing the number of yards bought

For example:

If she bought 1 yard: t = 10 + 3(1) = $13

If she bought 3 yards: t = 10 + 3(3) = $19

Therefore, the total cost "t" depends on the number of yards which means that "t" is the dependent variable in the equation

Hope this helps :)