Two friends, Mayerlin and Jaxon, had just bought their first cars. The graph below represents the number of miles, yy, that Jaxon can drive his car for every xx gallons of gas.

Question

0
Gallons of Gas
Miles Driven
x
y
0
Gallons of Gas
Miles Driven
Jaxon's Gas Mileage
(10,414)
(20,828)
The table below represents the number of miles, yy, that Mayerlin can drive her car for every xx gallons of gas.
Mayerlin's Gas Mileage
Gallons left parenthesis x right parenthesisGallons (x) Miles left parenthesis y right parenthesisMiles (y)
1010 248248
2020 496496
3030 744744
4040 992992
Use the dropdown menu and answer-blank below to form a true statement.
Answer
Attempt 1 out of 2

Jaxon can travel
miles
than Mayerlin on one gallon of gas.

Answer 1

To compare Jaxon and Mayerlin's gas mileage, we first need to determine how many miles each of them can drive per gallon of gas.

Jaxon's gas mileage: From the graph, we see that Jaxon drives:

• 10 gallons for 414 miles
• 20 gallons for 828 miles

To find Jaxon's miles per gallon (mpg):

1. For 10 gallons: \( \frac{414 \text{ miles}}{10 \text{ gallons}} = 41.4 \text{ mpg} \)
2. For 20 gallons: \( \frac{828 \text{ miles}}{20 \text{ gallons}} = 41.4 \text{ mpg} \)

Thus, Jaxon drives 41.4 miles per gallon.

Mayerlin's gas mileage: From the table, Mayerlin drives:

• 10 gallons for 248 miles
• 20 gallons for 496 miles

To find Mayerlin's miles per gallon (mpg):

1. For 10 gallons: \( \frac{248 \text{ miles}}{10 \text{ gallons}} = 24.8 \text{ mpg} \)
2. For 20 gallons: \( \frac{496 \text{ miles}}{20 \text{ gallons}} = 24.8 \text{ mpg} \)

Thus, Mayerlin drives 24.8 miles per gallon.

Now, let's compare: Jaxon can travel 41.4 miles per gallon, while Mayerlin can travel 24.8 miles per gallon.

To find how much further Jaxon can travel compared to Mayerlin on one gallon of gas: 41.4 - 24.8 = 16.6

So:

Jaxon can travel 16.6 miles farther than Mayerlin on one gallon of gas.