Question

Compare the graph of Car A to the table of Car B to determine which car is traveling at the greatest speed and by how muchCar AMiles. Hours15 130. 245. 360. 475. 5Car B.distance(miles) Time(hours)45. 190. 2135. 3180 4

Answer 1

Given:

We get two points from the table of car A are (15,1) and (75,5).

We get two points from the table of car B are (45,1) and (180,4).

Required:

We need to determine which car is traveling at the greatest speed and by how much.

Step-by-step explanation:

Consider the formula to find the speed of the car.

`Speed=(distance)/(time)`

Consider the point (15,1).

Substitute distance =15 and time =1 in the formula to find the speed of car A.

`Speed\text{ of car A}=(15)/(1)`

`Speed\text{ of car A}=15miles\text{ per hour}`

Consider the point (45,1).

Substitute distance =45 and time =1 in the formula to find the speed of car B.

`Speed\text{ of car B}=(45)/(1)`

`Speed\text{ of car B}=45miles\text{ per hour}`
`\text{We know that }45>15.`

The speed of car B is the greatest speed.

Subtract 45 from 15, we get

`45-15=30\text{ miles per hour.}`

The speed of car B is 30 miles per hour greater than car A.

Final answer:

The speed of car B is the greatest speed.

The speed of car B is 30 miles per hour greater than car A.