Question: i need anyone to check my work and give some...

I need anyone to check my work and give some points to improve my work please.

"Make sure you EXPLAIN why you think the answer is correct. Just stating the answer is NOT a good submission."

..............Here's the questions...............................

Q2: Mike decides to join a fitness club. The initial signup fee is $100, and the monthly membership fee is $20. If he plans to spend a total of $2020 on the membership, how many years can he stay a member of this club?

Q3: A bat and a ball cost $1.10. The bat costs one dollar more than the ball. How much does the ball cost??

.....................................My answers ............

Question 2:

This problem can be solved using the general formula for a linear function:

dependent variable = initial value + ​(rate of change × independent ​variable)

1) First, identify values for each piece of the equation:

Dependent variable = cost of the membership = C = $2020

Initial value = $100

Rate of change = $20 per month

Independent variable = (t) time in months

2) Substitute given values into equation:

2020 = 100 + (20 x t)

3) Isolate t by subtracting 100 from each side of the equation:

2020 - 100 = 100 + (20 x t) - 100

simplified

1920 = 20t

divide both sides by 20

t = 96months

4) Convert months to years:

96 months x (1 year/ 12 months) = 8 years

Mike can spend a total of 8 years as a member with a payment of $2020.

5) Checking my work:

$100 + ($20 x 8 x 12) = $100 + $1920 = $2020

.................................

Question #3

A bat and a ball cost $1.10. The bat costs one dollar more than the ball. How much does the ball cost??

1) First, organize the information into two equations:

$Bat + $ball = $1.10

$Bat = $ball + $1

2) Substitute the cost of the bat with $1 + $ball:

($ball + $1) + $ball = $1.10

3) Simplify equation:

Combine like terms

2$ball + $1 = $1.10

subtract $1 from each side

2$ball = $0.10

divide both sides by 2

$ball = $0.05

4) Checking my work:

Now that we know what the cost off the ball is, we can subtract that from the total

$1.10 - $0.05 = $1.05

$Bat = $1.05

$Bat + $ball = $Total

$1.05 + $0.05 = $1.10

Does $Bat cost $1 more that $ball? Yup. Check. Roger.

Conclusion: The ball costs $0.05.