The question is incomplete, the complete question is here:
One week , Kerry travels 125 miles and uses 5 gallons of gas. next week she travels 175 miles and uses 7 gallons of gas . what best describes the function that can be used to represent m, the number of miles traveled, and g, the number of gallons used
The best function represents the relation between m and g is m = 25 g
Step-by-step explanation:
The given is:
- One week, Kerry travels 125 miles and uses 5 gallons of gasoline
- The next week, she travels 175 miles and uses 7 gallons of gasoline
- m represents the number of miles traveled by g gallons
We need to write a function that can be used to represent m and g
∵ Kerry travels 125 miles and uses 5 gallons of gasoline in
one week
∴ The rate = 125 ÷ 5 = 25 miles per gallon
∵ She travels 175 miles and uses 7 gallons of gasoline in
next week
∴ The rate = 175 ÷ 7 = 25 miles per hour
- That means the rate is constant
∴ The relation between the number of miles and the number of
gallons used is linear
- The linear relation is y = k x, where k is the constant of relation
∵ m is the number of miles
∵ g is the number of gallons
∵ 25 is the constant rate
∴ m = 25 g
The best function represents the relation between m and g is m = 25 g
Learn more:
You can learn more about the linear function in brainly.com/question/9801816
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