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?

A. Amy and Laura recorded the same gas mileage each week.
B. Both Amy and Laura increased their gas mileage in the first two weeks.
C. Amy had greater gas mileage than Laura.
D. Laura had a constant gas mileage in the first four weeks of data.

Laura's Gas Mileage:
[tex]\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline \text{Time (weeks)} & 0 & 1 & 2 & 3 & 4 \\
\hline \text{MPG} & 17 & 18 & 19 & 17 & 17 \\
\hline
\end{tabular}
\][/tex]



Answer :

Based on the data recorded for Laura's gas mileage over four weeks, we can draw several conclusions and compare them to Amy's gas mileage if we had her data:

1. Laura's Gas Mileage Over Weeks:
- Week 0: 17 MPG
- Week 1: 18 MPG
- Week 2: 19 MPG
- Week 3: 17 MPG
- Week 4: 17 MPG

2. Trends in Laura's Gas Mileage:
- Laura's gas mileage increased from 17 MPG in Week 0 to 19 MPG in Week 2.
- After Week 2, Laura's gas mileage decreased back to 17 MPG by Week 3 and stayed constant through Week 4.

3. Comparison with Amy's Gas Mileage:
- Given the statement that both Amy and Laura recorded the same gas mileage each week, it would imply Amy had the same MPG values of 17, 18, 19, 17, and 17 from Week 0 to Week 4 respectively.
- Both Amy and Laura had an increase in their gas mileage over the first two weeks (from 17 MPG to 19 MPG).
- From Week 2 to Week 4, both experienced a decrease back to 17 MPG.
- Amy did not always have greater gas mileage than Laura; they recorded the same figures.

4. Conclusions Based on the Data:
- Same Gas Mileage Each Week: If we assume Amy's gas mileage is described the same as Laura’s, then this statement is correct because they both recorded the same value of MPG each week.
- Increase in the First Two Weeks: Both Amy's and Laura's gas mileage increased in the first two weeks, going from 17 MPG in Week 0 to 18 MPG in Week 1, and finally to 19 MPG in Week 2.
- Amy Had Greater Gas Mileage: This statement is incorrect since both Amy and Laura had the same gas mileage each week.
- Constant Mileage for Laura: Laura did not have a constant gas mileage in the first four weeks; her gas mileage varied over those weeks (17, 18, 19, 17, 17).

Based on the data and the trends observed, we can conclude that both Amy and Laura had the same gas mileage each week and both experienced an increase in gas mileage during the first two weeks, returning to a lower value in subsequent weeks.

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