Question

Marco is driving to the Grand Canyon. His distance from the Grand Canyon decreases 150 mi every 3 h. After 4 h, his distance from the Grand Canyon is 200 mi. Marco's distance from the Grand Canyon in miles, y, is a function of the number of hours he drives, x.

Answer 1

The function for Marco's distance from the Grand Canyon is y = -150x + 800.

Step-by-step explanation:

Since Marco's distance from the Grand Canyon decreases by 150 miles every 3 hours, we can set up the equation y = mx + b, where m is the rate of change and b is the initial distance from the Grand Canyon.

In this case, m = -150 (since the distance decreases) and b is the unknown initial distance.

After 4 hours, the distance from the Grand Canyon is 200 miles, so we can plug these values into the equation and solve for b.

y = mx + b

200 = -150(4) + b

b = 800

Therefore, the function for Marco's distance from the Grand Canyon is y = -150x + 800.