Answer:
Option B is correct
\(d =58h + 20\)
Step-by-step explanation:
Using slope intercept form:
The equation of line is given by:
\(y = mx+c\)
where, m is the slope and c is the initial value.
As per the statement:
Here, d represents the distance and h represents the time in hours.
A car enters an interstate highway 20 mi north of a city.
⇒d(0)=c = 20 mi
It is also given that:
The car travels north at an average speed of 58 mph
In 1 hour = 58 mi
then
in h hour = 58 h
⇒ m = 58 h
Substitute the given value in slope-intercept form we have;
\(d =58h + 20\)
therefore, an equation models the car’s distance d from the city after traveling for h hours is, \(d =58h + 20\)
