@johnweldon1993
Sam is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Sam has 63 miles to his destination after 39 minutes of driving, and he has 51.8 miles to his destination after 53 minutes of driving. How many miles will he have to his destination after 61 minutes of driving?

Question

@johnweldon1993
Sam is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Sam has  63 miles to his destination after 39 minutes of driving, and he has  51.8 miles to his destination after 53 minutes of driving. How many miles will he have to his destination after 61  minutes of driving?

johnweldon1993 · Answer

A linear function...so he would be traveling at a constant speed...lets see

after 39 minutes...he has 63 to go
after 53 minutes...he has 51.8 miles to go

so in

52 - 39 = 13 minutes

he travels

63 - 51.8 =  11.2 miles

lets use that to solve how far he drives per minute

if he travels 11.2 miles...in 13 minutes....how many miles does he travel in 1 minute?

anonymous · Answer

0.8615 miles

johnweldon1993 · Answer

right....so now...we know that he only has 51.8  miles left after 53 minutes of driving

and now he travels for

61 - 53 = 8 more minutes

he has  51.8 - (8 times .8615) miles left to travel

do that equation :)

anonymous · Answer

44.907

johnweldon1993 · Answer

we can round that off to 44.9 ...but yes he will still have 44.9 miles left to go!

anonymous · Answer

cool thanks :) u r really smart

johnweldon1993 · Answer

no problem! and you're the one doing all the work! :)