Question

A company makes and sells customized yard signs. If you order 5 signs, they charge $72 which includes shipping. If you purchase 15 signs, the total cost is $202. Find and interpret the slope of the linear function in the context of the problem.

Answer 1

The slope is of $13, which means that each new sign costs $13.

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A linear function has the following format:

$y = mx + b$

In which

• m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
• b is the y-intercept.

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• In the linear function in this problem, we have two points (x,y): (5,72) and (15,202).
• The slope is given by the change in y divided by the change in x, thus:

$m = \frac{202 - 72}{15 - 5} = 13$

• The slope is of $13, which means that each new sign costs $13.

A similar problem is given at brainly.com/question/24141057