Question

In a graph, x represents the number of months since abusiness opened, and y represents the total amount ofmoney the business has earned. The following threepoints are from the graph:(2, 1990) (5, 4225) (9, 7205)Find the slope and y-intercept. Explain what eachrepresents.

Answer 1

First point:

the slope will be:

`m=(4225-1990)/(5-2)=745`

then the equation in slope-point form is:

`(y-1990)=745(x-2)`

then

`y=745x-1490+1990`
`y=745x+500`

then the intercept=(0,500) and the slope=745

Second point:

from the information we deduct the following expression

`y=0.12(x-1880)+54.3`

then evaluating y the 101st year it will be:

`0.12(101)+54.3=12.12+54.3=66.42`