You are going to drive to another state for a vacation. One route will take 8 hours to drive 400 miles, and the other route will take 7 hours to drive 420 miles. You write two equations to try and figure out the average rate of speed you would travel on each route. How much higher will your average speed be on the faster route?(1 point)
Responses
20 mph
20 mph
50 mph
50 mph
60 mph
60 mph
10 mph
10 mph
A candy store sells different types of candy by the ounce. Red Snaps cost $0.25 per ounce, and Blue Tarts cost $0.30 per ounce. You decide to buy 8 ounces of candy to share with your friends. How much more expensive would it be to get a bag of Blue Tarts instead of a bag of Red Snaps?(1 point)
Responses
$4.40
$4.40
$2.40
$2.40
$2.00
$2.00
$0.40
$0.40
You are training twice a week for a race. On Monday, you go 4 miles in 40 minutes. Then on Wednesday you go 2 miles in 16 minutes. Write an equation where y is the number of miles and x is the time in minutes for the day you ran the fastest for the week.(1 point)
Responses
y=10x
y equals 10 x
y=8x
y equals 8 x
y=0.125x
y equals 0.125x
y=0.1x
y=0.125x
To find the average speed, we can use the formula:
Average speed = total distance / total time.
For the first route:
Average speed = 400 miles / 8 hours = 50 mph.
For the second route:
Average speed = 420 miles / 7 hours = 60 mph.
The average speed on the faster route (second route) is 60 mph, which is 10 mph higher than the average speed on the slower route (first route).
To find the average speed for each route, you can use the formula: average speed = total distance / total time.
For the first route:
Average speed = 400 miles / 8 hours = 50 mph.
For the second route:
Average speed = 420 miles / 7 hours = 60 mph.
Comparing the two average speeds, we can see that the average speed on the faster route is higher by 10 mph. Therefore, the answer is 10 mph.