Question

Malcolm and Theo's families are both traveling to the same vacation resort.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

Answer 1

Equation for Malcom's family travels after t hours is d = 65 t

From the graph, equation for Theo's family travels after travels after t hours is

`$d=(225)/(4.5)t$`

`$d=50 t$`

For Malcom's family, speed
`$= (d)/(t)$` = 65 miles per hour

For Theo's family, speed
`$= (d)/(t)$` = 50 miles per hour

Malcom's family traveled faster than Theo's family by

= (65-50) miles per hour

= 15 miles per hour