Giovanna and Janet both have jobs where they get paid by the hour. Below are the numbers of hours each have worked on each of the last 5 days and the amount of money they made. Which of these statements is true based on the given information?

Giovanna:
Number of Hours Amount of Money Made
6 $42
4 $28
5 $35
3 $21
7 $49

Janet:
Number of Hours Amount of Money Made
2 $18
8 $72
6 $54
9 $81
3 $27
A.
Giovanna makes $7 per hour, which is more than Janet makes.

B.
Janet makes $7 per hour, which is more than Giovanna makes.

C.
Giovanna makes $9 per hour, which is more than Janet makes.

D.
Janet makes $9 per hour, which is more than Giovanna makes.

1 answer

To determine who makes more per hour, we can calculate the hourly wage for both Giovanna and Janet based on the information provided.

Giovanna's Hourly Wage:

  1. Calculate the total amount of money she made: \[ 42 + 28 + 35 + 21 + 49 = 175 \]
  2. Calculate the total number of hours she worked: \[ 6 + 4 + 5 + 3 + 7 = 25 \]
  3. Calculate her hourly wage: \[ \text{Hourly wage} = \frac{\text{Total Money Made}}{\text{Total Hours Worked}} = \frac{175}{25} = 7 \]

Janet's Hourly Wage:

  1. Calculate the total amount of money she made: \[ 18 + 72 + 54 + 81 + 27 = 252 \]
  2. Calculate the total number of hours she worked: \[ 2 + 8 + 6 + 9 + 3 = 28 \]
  3. Calculate her hourly wage: \[ \text{Hourly wage} = \frac{\text{Total Money Made}}{\text{Total Hours Worked}} = \frac{252}{28} = 9 \]

Comparison:

Giovanna makes $7 per hour, while Janet makes $9 per hour.

Based on our calculations:

  • Giovanni makes $7 per hour.
  • Janet makes $9 per hour.

The true statement based on the given information is: D. Janet makes $9 per hour, which is more than Giovanna makes.