Question

comparing relationships between two sets of data
amys gas mileage
mpg
time (weeks)
lauras gas mileage
time (weeks) 0 1 2 3 4
mpg 17 18 19 17 17
amy and laura recorded the average gas mileage (mpg) of their vehicles each week for four weeks. what can be concluded about the relationships shown in the graph and table?
amy and laura recorded the same gas mileage each week.
both amy and laura increased their gas mileage in the first two weeks.
amy had greater gas mileage than laura.
laura had a constant gas mileage in the first four weeks of data.

Explanation:

Step1: Analyze Amy's graph

Amy's gas - mileage graph first increases and then decreases over 4 weeks.

Step2: Analyze Laura's table

Laura's gas - mileage is 17 MPG at week 0, 18 MPG at week 1, 19 MPG at week 2, 17 MPG at week 3 and 17 MPG at week 4. Laura's gas - mileage increases in the first two weeks.

Step3: Check each option

• Option 1: There is no information to suggest they had the same gas - mileage each week.
• Option 2: From the graph and table, both Amy and Laura increased their gas - mileage in the first two weeks.
• Option 3: There is no way to directly compare Amy and Laura's gas - mileage as we don't have Amy's exact values.
• Option 4: Laura's gas - mileage is not constant in the first four weeks as it changes from 17 to 18 to 19 and then back to 17.

Answer:

Both Amy and Laura increased their gas mileage in the first two weeks.