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.
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.
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.
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.
To determine the monthly fee, let's represent it with the variable "m".
We know that the initial cost to join the fitness center is $100, and the total amount spent in a year is $700. This means that the monthly fee is paid for a total of 12 months.
So, the equation can be written as:
$100 + 12m = $700
To solve the equation, we can isolate the variable "m" by subtracting $100 from both sides:
12m = $700 - $100
12m = $600
Now, divide both sides of the equation by 12 to solve for "m":
m = $600 / 12
m = $50
Therefore, the monthly fee for the fitness center is $50.