Question

Zachary is currently in Mojave National Park in Nevada, which is 150 miles from Los Angeles, CA W he is now riding at a rate of .2 miles per hour, then choose an equation that represents his distance, d. from Los Angeles in hours, ​

Answer 1

speed=distancextime

distance=speed÷time

Answer 2

D(miles) = 150 miles - 0.2mph(x hours)

or

D = 150 - 0.2x

Explanation:

In order to form an equation to represent the situation, you must know that the equation of a line is equal to

y = mx + b

In which m is the rate of change and b is the y-intercept (what y = when x is 0).

Since Zachary is riding at a rate of 0.2 miles per hour towards California, his distance from LA is decreasing by 0.2 miles every hour.

If x represents the number of hours passed, m = -0.2 miles per hour.

Second, since Mojave is 150 miles away from LA, you know that b is equal to 150; when the x is 0 (time = 0 hours, Zachary has not started riding towards LA), y is 150 miles.

In conclusion, by plugging in values for the slope and y intercept, the final equation you get is:

y = 150 - 0.2x

or

y = -0.2x + 150