Question

A manufacturer created the table below as part of a program aimed to reduce manufacturing costs. The table compares the cost y to the number of hats sold, x. which of the following statements below are supported by the data? select all that apply.

1. The slope is positive.

2. the slope is negative.

3. every additional hat produced results in a cost increase of $.60

4. every additional hat produced results in a cost increase of $6.00

5. before producing any hats, the manufacturing costs are $100.00

6. the cost of producing 75 hats is approximately $136.00
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Answer 1

Using linear function concepts, it is found that the correct statements are given by:

1. The slope is positive.

3. every additional hat produced results in a cost increase of $.60.

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

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

• b is the y-intercept, which is the value of y when x = 0.

In this problem:

• When the amount increases by 10, the cost increases by $6, hence the slope is of m = 6/10 = 0.6.

• The y-intercept is the amount of producing 0 hats, which is of b = 105 - 6 = 99.

Hence statements 1 and 3 are correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer 2

Answer:

A. The slope is positive.

C. every additional hat produced results in a cost increase of $.60.Step-by-step explanation:

E. Before producing any hats, the manufacturing costs are about $100.00.