Question

The profit y from selling x muffins can be represented by a linear function. The profit from selling 5 muffins is $4.

The profit from selling 7 muffins is $8. What is the slope of the line represented by the data?
a. 1/2 b. 1 c. 4/5 d. 2

Answer 1

The slope of the line represented by the data is 2.

Step-by-step explanation:

The given problem involves finding the slope of a linear function. The slope represents the rate of change in profit for each additional muffin sold.

Let's use the formula for finding the slope of a line:

slope = (change in y)/(change in x)

Using the given data, we can find the slope by calculating the change in profit (y) divided by the change in the number of muffins (x).

Slope = (8 - 4)/(7 - 5) = 4/2 = 2

Therefore, the slope of the line represented by the data is 2.