Question

1. mladen is paid \\$14.75 an hour. he gets paid time-and-a-half for each overtime hour he works over 40 hours a week. one week he makes \\$722.75. how many hours of overtime did he work?

1. challenge: ten years from now, jane will be three times as old as she was four years ago. how old is jane now?

Explanation:

Calculate regular earnings and overtime rate

Using the Translating Word Problems and Algebraic Modeling knowledge points

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Solve for overtime hours

Using the Linear Equations Solving knowledge point

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Set up the age equation

To find Jane's current age, let \(j\) represent her age now.

• "Ten years from now" is represented algebraically as \(j + 10\).
• "Four years ago" is represented algebraically as \(j - 4\).
• "Three times as old as she was four years ago" translates to \(3(j - 4)\).

We equate these two expressions to model the relationship:

$$j + 10 = 3(j - 4)$$

Solve for Jane's current age

Using the Linear Equations Solving knowledge point

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Answer:

Question 11

6 hours

Question 12

11 years old