Mathematics: HELPP 25 points! I need help on how to do this type of problem!

HELPP 25 points! I need help on how to do this

J3ak06

01.08.2021

A)The slope of function is 15

B) Point slope form :

Slope-intercept form : y=15x+325

Standard form: 15x+y=325

C)g(x)=15x+325

D) The balance in the bank account after 12 days is $505

Step-by-step explanation:

x g(x)

0 $325

5 $400

10 $475

Part A: Find and interpret the slope of the function.

Formula of slope = $m = \frac{y_2-y_1}{x_2-x_1}$

We are given that

$(x_1,y_1)=(0,325)\\(x_2,y_2)=(5,400)$

Substitute the values in the formula:

$m=\frac{400-325}{5-0}$

m=15

So, The slope of function is 15

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms.

Point slope form : y-y_1=m(x-x_1)

y-325=15(x-0)

Slope-intercept form = y=mx+c

y=15x+325

Standard form : Ax+By=C

So, -15x+y=325

Part C: Write the equation of the line using function notation.

g(x)=15x+325

Part D: What is the balance in the bank account after 12 days?

Substitute x = 12

So, g(x)=15(12)+325

g(x)=505

Hence the balance in the bank account after 12 days is $505

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