Question

A health club charges an initial fee of $100 to join, plus a fee of $33 per month. Write an algebraic equation. How much will you pay in 5 momths?

Answer 1

#1 answer: y=33x+100

explanation: The initial fee of $100 is your y-intercept.
The 33 is your slope.
You pay $33 a month which is what the x value represents (the month).
So your total equation is y=33x+100

#2 answer: $265

explanation: using the equation y= 33x + 100 you replace the x which is 5.
33(5) + 100. 33 * 5 = $165 but you can’t forget the + 100.
Therefore your answer will be $265.

Answer 2

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.