Question

On Ricardo's trip from Arizona to Yosemite National Park, he will pass through Fresno, California. Ricardo's distance from Fresno can be modeled by the function

D(t)= |800-60t|
where D(t) is Ricardo's distance in miles from Fresno after driving for t hours. Find the time when Ricardo will be 50 miles away from Fresno. (Round your answers to the nearest hundredth
of an hour. List the smaller value first. Include units in your answers. More information.)
Ricardo will be 50 miles away from Fresno after 12.5 hours and again after

Answer 1

Explanation:

To find the time when Ricardo will be 50 miles away from Fresno, you need to solve the equation:

D(t) = |800 - 60t| = 50

First, set up the equation with both positive and negative values for the absolute value:

Positive Case:

800 - 60t = 50

Subtract 800 from both sides:

-60t = -750

Now, divide by -60:

t = -750 / -60 = 12.5 hours

So, Ricardo will be 50 miles away from Fresno after 12.5 hours. There is no need to list the negative case as it's the same result.