9. carlos is taking a road trip. so far he has traveled 120 miles at a constant speed of 60 mph. his
distance can be modeled by the function d(x) = 60x + 120, where x is in hours. how many miles
will he have traveled after 3,5, and 8 more hours? interpret the results in terms of the context of
the function.

Part 1) 300 miles

Part 2) 420 miles

Part 3) 600 miles

Step-by-step explanation:

we have

where

d(x) is the distance in miles

x is the time in hours

Part 1) How many miles  will he have traveled after 3 more hours?

we know that

To find the distance, substitute the value of x in the function

so

For x=3 hours

For x=3, d(x)=300

That means -----> After 3 hours Carlos has traveled 300 miles at a constant speed of 60 mph

Part 2) How many miles  will he have traveled after 5 more hours?

we know that

To find the distance, substitute the value of x in the function

so

For x=5 hours

For x=5, d(x)=420

That means -----> After 5 hours Carlos has traveled 420 miles at a constant speed of 60 mph

Part 3) How many miles  will he have traveled after 8 more hours?

we know that

To find the distance, substitute the value of x in the function

so

For x=8 hours

For x=8, d(x)=600

That means -----> After 8 hours Carlos has traveled 600 miles at a constant speed of 60 mph