Question

Oliver drives 45 miles per hour. Write an expression that represents the distance in miles he will travel for h hours driven

Answer 1

Answer:

The expression that represents the distance in miles Oliver will travel for h hours is: d=45\times h.

Step-by-step explanation:

The first thing to take into account is the speed equation. It is , where v is the speed, x is the distance and t is the time.

Now, let's change the name of the variables to adapt the equation to the problem. The equation could be converted to:

, where v is the speed in miles per hour, d is the distance in miles and h is the time in hours.

The next step is to manipulate a little bit the previous equation to find the distance in terms of speed (v) and time (h). If you pass the variable time (h) to multiply to the left side with speed (v), the equation would be:

The previous equation is the distance in miles in terms of speed in miles per hour and time in hours. Now, you must replace the value of the speed that is 45 miles per hour. The expression would be:

As the speed is in miles per hour and the time is in hours, the distance expression is in miles. So if you replace any value for h (in hours), you will obtain the distance in miles.

Thus, the expression that represents the distance in miles Oliver will travel for h hours is: d = 45 x h.