Question

a plane travels at a rate of x + 150 miles per hour. what expression would represent the distance it can travel in 2x + 1 hours?

Answer 1

Explanation:

The distance that the plane can travel in 2x + 1 hours can be found by multiplying the plane's rate (x + 150 miles per hour) by the time (2x + 1 hours):

Distance = Rate × Time

Distance = (x + 150)(2x + 1)

Simplifying this expression, we can use the distributive property of multiplication:

Distance = 2x(x) + 2x(1) + 150(x) + 150(1)

Distance = 2x^2 + 2x + 150x + 150

Finally, we can combine like terms:

Distance = 2x^2 + 152x + 150

Therefore, the expression that represents the distance that the plane can travel in 2x + 1 hours is 2x^2 + 152x + 150.