Question

Help me with this plz

Answer 1

15 mph

Explanation:

To find the miles per gallon or rate of changes, we can find by using the following formula:

`\displaystyle \large{(y_2-y_1)/(x_2-x_1)}`

Basically a slope or rise over run formulas. This question is basically to convert the tables to a simple equation or finding changes/slopee, useful when you want to find a high-value function like if you want to find how many miles at 100 gallons, you need an equation so it takes easier and short time to calculate. The purpose is to make the data easy to calculate.

For the formula, let x be gallons and y be miles. Hence,

`\displaystyle \large{(30-0)/(2-0)=(30)/(2)=15}}`

This is an average rate of changes when gallons varies from 0 to 2.

Instead of using (0,0) and (2,30) you can use (2,30) and (4,60) which we get:

`\displaystyle \large{(60-30)/(4-2)=(30)/(2)=15}}`

Same rate of changes, because a linear graph does have a constant rate of changes meaning its changes stay same.

Hence, the answer is 15 mph.