Question

# A company found that the average customer rating of a certain product can be used to estimate the total income from that product, according to the equation y = 44x + 500, where is the income, in dollars, and x is the average customer rating. Which of the following best describes the slope of the graph of the equation in the xy-plane?

- For every increase of 44 in the average customer rating, the estimated increase in income is $500.
- For every increase of 1 in the average customer rating, the estimated increase in income is $544.
- For every increase of 1 in the average customer rating, the estimated increase in income is $500.
- For every increase of 1 in the average customer rating, the estimated increase in income is $44.

## The correct answer is: For every increase of 1 in the average customer rating, the estimated increase in income is $44.

### The given equation is y = 44 x + 500

Step 1:- find slope

Comparing it with the slope-intercept form of the equation of line y = mx + c we get slope as 44

Slope can also be written as (dollars / rating)

Step 2 :- find

Let dx = + 1 rating

dy = + $ 44

So it can be interpreted as for every increase of 1 average customer rating the increase in income(y) is $44.

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