Ronald is taking a road trip. After 2 hours he has covered 90 miles and after 5 hours he has covered 225 miles. a. Write a linear model and b. use this model to predict the number of miles covered after 10 hours.
Let
x ------> number of hours
y -----> number of miles
we have
the ordered pairs
(2,90) and (5, 225)
step 1
Find the slope m
m=(225-90)/(5-2)
m=135/3
step 2
Find the linear equation in slope intercept form
y=mx+b
we have
m=45
point (2,90)
substitute
90=45(2)+b
solve for b
b=90-90
b=0
y=45x
step 3
For x=10 hours
substitute in the linear model
y=45(10)
y=450 miles