Question

Car A travels at 35 miles per hour and Car B travels at a greater speed of x miles per hour. Choose the expression that represents how many miles farther Car B travels in two hours.

-2x-70

-2x+70

-2x-35

-2x+35

Answer 1

The correct expression representing how many more miles Car B travels compared to Car A in two hours, when Car A travels at 35 mph and Car B at x mph, is -2x + 70.

Step-by-step explanation:

The expression that represents how many miles farther Car B travels in two hours, given that Car A travels at 35 miles per hour, and Car B travels at a greater speed of x miles per hour, is calculated as follows:

• First, find the distance Car A travels in two hours: 35 miles/hour * 2 hours = 70 miles.
• Then, calculate the distance Car B travels in two hours at its unknown speed x: x miles/hour * 2 hours = 2x miles.
• To find how many more miles Car B travels compared to Car A, subtract the distance of Car A from that of Car B: 2x - 70.

Therefore, the correct expression is -2x + 70.

Answer 2

-2x+25 D

Step-by-step explanation:

To determine how far it will go in an unspecified number of hours, we can let t = time in hours. The letter t will be our variable. Assuming that the car travels at the same speed, we can state that the rate is 55, and that will be our constant. The expression would then be:

Distance of car traveled in t hours, which we can denote as D(t) = 55 x t = 55t

This means that D is a function of t, and D represents the total distance traveled in t hours.