Question

mikes savings plan includes an opening deposit of \\$10.25 and weekly contributions of \\$12.50. jasons savings plan includes an opening deposit of \\$20 and weekly contributions of \\$10. after how many whole weeks will mikes savings be greater than jasons savings?

enter your answer in the box.

whole weeks

Explanation:

Set up the savings expressions

Using the Writing Linear Inequalities knowledge point
Let \(w\) represent the number of whole weeks.
Mike's savings: \(10.25 + 12.50w\)
Jason's savings: \(20 + 10w\)

Set up the inequality

Using the Writing Linear Inequalities knowledge point
We want to find when Mike's savings are greater than Jason's savings:

$$10.25 + 12.50w > 20 + 10w$$

Solve the inequality

Using the Solving Linear Inequalities knowledge point

$$
LATEXBLOCK0
$$

Determine the whole weeks

Since \(w\) must be a whole number of weeks, the smallest integer greater than \(3.9\) is \(4\).

Answer:

After how many whole weeks will Mike's savings be greater than Jason's savings?

<blank>4</blank> whole weeks