Question

A family is driving 550 miles to their grandmother's house. They have already driven 350 miles. Which equation shows the rate, r, in miles per hour, the family must be driven to reach their grandmother´s hour in 4 hours?

A) 4r + 350= 550
B) 550 + 350= 4r
C) 4 + r + 350= 550
D) 550 - 350= r/4

Answer 1

The correct equation is A) 4r + 350 = 550. The rate the family must be driven to reach their grandmother's house in 4 hours is 50 miles per hour.

Step-by-step explanation:

The correct equation is: A) 4r + 350 = 550

To determine the rate the family must be driven to reach their grandmother's house in 4 hours, we need to find the remaining distance they need to drive. The remaining distance is the total distance minus the distance they have already driven:

Total distance = 550 miles, Distance driven = 350 miles, Remaining distance = 550 miles - 350 miles = 200 miles

Now, we can use the formula: Distance = Rate x Time. Plugging in the remaining distance and the given time of 4 hours, we get:

200 miles = 4 hours x r

Dividing both sides by 4, we can isolate the rate:

200 miles / 4 hours = r

r = 50 miles per hour