Question

3
write an equation that can be used to find the solution for this equation
5 frank agreed to pay $15 per month for his gym membership plus a $25 sign - up fee. so far, frank has paid a total of $70 for his membership.
write an equation that can be used to find x, the number of months he has had the membership

Explanation:

Problem 3 (Equation from Visuals)

Step1: Analyze the left - hand side

There are 4 rectangles with \(x\) (so that's \(4x\)) and 2 squares with \(- 1\) (so that's \(2\times(-1)=-2\)).

Step2: Analyze the right - hand side

There are 5 squares with \(1\) (so that's \(5\times1 = 5\)).
So the equation should be \(4x-2 = 5\). But looking at the given format \( \square x+\square=\square\), we can rewrite \(-2\) as \(+(-2)\). So the equation is \(4x+(-2)=5\) (or in the boxed form for the given blanks: the first box is 4, the second box is - 2, the third box is 5).

Problem 5 (Gym Membership Equation)

Step1: Define the variable

Let \(x\) be the number of months.

Step2: Determine the cost components

The monthly cost is \(\$15\) per month, so for \(x\) months, the monthly cost is \(15x\). There is also a one - time sign - up fee of \(\$25\). The total cost paid is \(\$70\).

Step3: Form the equation

The total cost is the sum of the monthly cost and the sign - up fee. So the equation is \(15x + 25=70\).

Final Answers:

• For Problem 3: The equation is \(4x+(-2)=5\) (or in the given blank format: First box: 4, Second box: - 2, Third box: 5)
• For Problem 5: The equation is \(15x + 25 = 70\)

Answer:

Step1: Define the variable

Let \(x\) be the number of months.

Step2: Determine the cost components

The monthly cost is \(\$15\) per month, so for \(x\) months, the monthly cost is \(15x\). There is also a one - time sign - up fee of \(\$25\). The total cost paid is \(\$70\).

Step3: Form the equation

The total cost is the sum of the monthly cost and the sign - up fee. So the equation is \(15x + 25=70\).

Final Answers:

• For Problem 3: The equation is \(4x+(-2)=5\) (or in the given blank format: First box: 4, Second box: - 2, Third box: 5)
• For Problem 5: The equation is \(15x + 25 = 70\)