0. ALGEBRA Jane Able is paid $14.85 an hour for a regular 40-hour work week. Her overtime pay for any hours over 40 per
week is 1/2 times her regular hourly rate. This past week Jane
earned $727.65 in total pay. How many hours of overtime did
she work this past week?
9
DLL

18 hours of overtime done by Jane

Step-by-step explanation:

Regular weekly payment = 40 x $14.85 = $594

She earned $727.65.

The total overtime payment = $727.65 - $594 = $133.65

Overtime payment per hour is $14.85/2 = $7.425

$133.65 : $7.425 = 18hours overtime

But, is it me that understand the question in the wrong way or is the question itself is weird? Why would somebody work overtime if the wage is lower than the regular hour?

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.