Question

Norma earns $26 per hour. She donates 5% of her wages to her favorite charity. If she wants to have at least $910 left after her donation, how many hours (H) must she work? (Round the number of hours up to the next whole hour.)

A. H > gt; 35
B. H > gt; 20
C. H > gt; 46
D. H > gt; 37.

Answer 1

A. H > gt; 35. Norma needs to work at least 39 hours in order to have $910 left after her donation.

Step-by-step explanation:

Norma's Total Income

To calculate Norma's total income, we need to find her earnings and deduct her donation. Let's say she works H hours per week. Her earnings per week would be 26*H.

She donates 5% of her wages, so her donation per week would be (26*H) * 0.05.

Her total income per week, after the donation, would be (26*H) - (26*H*0.05).

Calculating H

We want Norma to have at least $910 left after her donation. So, we can set up the following inequality:

(26*H) - (26*H*0.05) >= 910

Simplifying the equation, we get:

0.95*(26*H) >= 910

Dividing both sides by 0.95:

26*H >= 910 / 0.95

H >= 910 / (0.95*26)

H >= 38.2979

Since we need to round up to the nearest whole hour, the number of hours Norma must work is 39.

Therefore, the correct answer is: H > 37.