Mathematics: Can you tell who is the fastest animal In the world

Can you tell who is the fastest animal In the world

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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