Acar traveling on a highway is 60 miles away from home after 1 hour, and is 300 miles away from home after 5 hours. what is the rate of change of the car’s distance over time? . a. 1/60 mph. b. 15/2 mph. c. 55mph. d. 60 mph

d. 60 mph.

Step-by-step explanation:

Let x be the number of hours and y be the distance covered in miles.

We have been given that a car traveling on a highway is 60 miles away from home after 1 hour, and is 300 miles away from home after 5 hours.

Since distance covered by car depends on number of hours, so distance will be dependent variable, y.

Now we will use average rate of change formula to solve our given problem.

Substituting our given values in above formula we will get,

Therefore, average rate of the car’s distance over time is 60 miles per hour and option 'd' is the correct choice.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answer is 33

step-by-step explanation: