Question

Latoya is driving to New York City. Let y represent her distance from New York City (in miles). Let x represent the time she has been driving (in hours). Suppose that x and y are related by the equation -55 x+375=y. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in Latoya's distance from New York City for each hour she drives? miles What was Latoya's distance from New York City when she began her drive?

Answer 1

The change in Latoya's distance from New York City for each hour she drives is -55 miles. Latoya's distance from New York City when she began her drive was 375 miles.

Step-by-step explanation:

The equation -55x + 375 = y represents Latoya's distance from New York City (in miles) as a function of the time(x) she has been driving (in hours) on her way to New York City. The coefficient of x (-55) represents the rate of change or the slope of the equation. In this case, the slope of -55 means that for each hour she drives, her distance from New York City decreases by 55 miles. This negative slope indicates a decrease in distance as time increases. Therefore, the change in Latoya's distance from New York City for each hour she drives is -55 miles.

To find Latoya's distance from New York City when she began her drive, we need to substitute x=0 into the equation. When x=0, y = -55(0) + 375 = 375. Therefore, Latoya's distance from New York City when she began her drive was 375 miles.