Answer:
let "y" be the payment in dollars
let "x" be the number of months
y = 33x + 100
Payment in 5 months: $265
Explanation:
The equation can be written as a linear equation in slope-intercept form, y = mx + b.
"x" and "y" are points on the line.
"m" is the slope, or rate of change dependent on "x".
"b" is the y-intercept, or initial value, or initial fee in this case.
b = 100 because "initial fee of $100" means you only pay the amount one time.
m = 33 because "$33 per month", which shows it is a rate of increase. The number of months will increase as time passes.
State your variables in the algebraic equation.
let "y" be the payment in dollars
let "x" be the number of months
Substitute b=100 and m=33 into y=mx + b
y = 33x + 100 <= algebraic equation
Since 'x' is the number of months, to find the amount you will pay in 5 months, substitute 'x' with 5.
y = 33x + 100
y = 33(5) + 100 Multiply 33 and 5 first
y = 165 + 100 Add
y = 265 Amount paid in 5 months
Therefore you will pay $265 in 5 months.