It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.

Answer 1

Let's use the variable "m" to represent the monthly fee.

The total cost for the year can be expressed as:

Total cost = Membership fee + Monthly fee x 12 months

We know that the total cost for the year was $700, and that it included a $100 membership fee:

$700 = $100 + $m x 12

Simplifying the equation:

$600 = $12m

Dividing both sides by 12:

$m = $50

Therefore, the monthly fee was $50.

Answer 2

You have $5 for lunch. You bought a turkey sandwich for $2.25.
A. Write an inequality that represents how much more money you can spend.
B. Solve your inequality.

Answer 3

A. The inequality that represents how much more money you can spend would be:

$5 - $2.25 < x

where "x" represents the amount of money you can still spend.

B. Solving the inequality:

$5 - $2.25 < x

$2.75 < x

Therefore, you can spend up to $2.75 more on lunch.