Question

Jeffrey and Frank walk at different speeds.Frank’s walking speed can be represented by the equation y=85x, where is the time in minutes and y is the distance in meters. The distance Jeffrey walked over the time is shown on the graph below

Answer 1

Option (C)

Option (C)

Option (A)

Explanation:

Part A.

Frank's walking speed can be represented by the equation.

Equation representing the speed is,

y = 85x

`(y)/(x)=85`

Therefore, walking speed of Frank = 85 meters per minute.

Option (C) will be the answer.

Part B.

Distance walked over the time by Jeffrey is given by the graph attached.

Equation for the speed will be,

y =
`((400)/(5))x`

y = 80x

Therefore, walking speed of Jeffrey = 80 meters per minute

Difference in the speed of Frank and Jeffrey = 85 - 80 = 5 meters per minute.

Jeffery walks 5 meters per minute slower than Frank.

Option (C) will be the answer.

Part (C)

Distance traveled by Frank in 16 minutes,

y = 85(16) = 1360 meters

Time taken to travel the same distance by Jeffrey will be,

1360 = 80x

x =
`(1360)/(80)=17` meters per minute

Option (A) will be the answer.