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Bumek [7]
3 years ago
9

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 yo

u pay in 5 momths?
Mathematics
2 answers:
svetlana [45]3 years ago
7 0

Answer:

let "y" be the payment in dollars

let "x" be the number of months

y = 33x + 100

Payment in 5 months: $265

Step-by-step 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.

<u>State your variables</u> 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.

docker41 [41]3 years ago
4 0
#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.
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