Question

An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months). The equation represents the linear model for this data.

y = 0.94x + 12.5



According to the model, how much do the company's sales increase per month?

A.$9400

B.$12,500

C$1250

D.$5000

E.$940

Answer 1

Hence, the company's sales increase per month is:

$ 940

Explanation:

The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).

Also the sales can be modeled by the help of a linear function as:

y = 0.94x + 12.5.

Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.

We know that for any linear function of the type:

y=mx+c

'm' represents the slope and 'c' represents the y-intercept of the line.

Hence, by looking at the equation we get:

m=0.94

but as the sales are multiplied by 1000.

Hence,

0.94×1000=$ 940.

Hence, the company's sales increase per month is:

$ 940

Answer 2

According to the model, how much do the company's sales increase per month is equivalent to the slope of the linear model presented.
Y = 0.94x + 12.5
Since the slope is 0.94 then graph represents by 1000
Increase per month = $ 0.94 x 1000
= $ 940 per month E