Question

The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $325
5 $400
10 $475


Part A: Find and interpret the slope of the function. (3 points)

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)

Part C: Write the equation of the line using function notation. (2 points)

Part D: What is the balance in the bank account after 12 days? (2 points)

Answer 1

Answer:

thanks for points

Step-by-step explanation:

Answer 2

Given :  A linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:

x    g(x)

0    $325

5    $400

10   $475

To find :  slope of the function

Write the equation of the line in different forms

Write the equation of the line using function notation.

balance in the bank account after 12 days

Solution:

A linear function g(x)

Hence

g(x) = ax + b

x = 0   then g(x) = 325

=> 325 = 0 + b

=> b = 325

g(x) = ax + 325

x = 5   then g(x) = 400

=> 400 = 5a + 325

=> a = 15

Slope is 15

Bank Balance increases daily by 15 $

g(x) = 15x  + 325    equation of the line using function notation

y  = 15x + 325    slope intercept

15x - y  + 325 =  0    Standard form

15x/-325  + y/325  = 1

x/(-65/13)  + y/325  = 1     intercept form

y - 325  = 15 ( x - 0)   point-slope

y - 400 = 15(x - 5)   point-slope

y - 475 = 15(x -10)   point-slope  

the balance in the bank account after 12 days

15(12) + 325

= 180 + 325

= 505  $

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