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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 :

First point:

the slope will be:

[tex]m=\frac{4225-1990}{5-2}=745[/tex]

then the equation in slope-point form is:

[tex](y-1990)=745(x-2)[/tex]

then

[tex]y=745x-1490+1990[/tex][tex]y=745x+500[/tex]

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

Second point:

from the information we deduct the following expression

[tex]y=0.12(x-1880)+54.3[/tex]

then evaluating y the 101st year it will be:

[tex]0.12(101)+54.3=12.12+54.3=66.42[/tex]

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