PLS HELP I WILL GIVE FREE BRAINLIST 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)
Answers
Answer:
A) The slope function is 15.
B) Point slope from:
slope intercept from:- 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.
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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