Question

A manufacturer created the table below as part of a program aimed to reduce manufacturing costs. The table compared the cost y to the number of hats sold,x. Which statement below are supported by the data? Select all that apply.

Answer 1

Answer:

The slope is positive; every additional hat produced results in a cost increase of $0.60; before producing any hats, the manufacturing costs are about 100.

Step-by-step explanation:

To find the slope, we use the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Considering the cost as the y value and the number of hats as the x value, the slope is

$m=\frac{111-105}{20-10}\\\\=\frac{6}{10}=0.6$

This means the slope is $0.60.  It is positive.

Using slope-intercept form, y=mx+b, we can substitute the first cost into y and the first number of hats into x:

105=0.6(10)+b

105=6+b

Subtract 6 from each side:

105-6=6+b-6

99=b

This is about $100.

The cost of 75 hats would be

y = 0.6(75)+99 = 45+99 = 144

This is not about $136.