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
60 mph
60 mph
10 mph
10 mph
50 mph
50 mph
20 mph
20 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
$0.40
$0.40
$4.40
$4.40
$2.40
$2.40
$2.00
$2.00
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 figure out the average speed for each route, you need to divide the total distance traveled by the total time taken.
For the first route, driving 400 miles in 8 hours, the equation would be: Average Speed = 400 miles / 8 hours
For the second route, driving 420 miles in 7 hours, the equation would be: Average Speed = 420 miles / 7 hours
Now, let's calculate the average speed for each route:
First route: Average Speed = 400 miles / 8 hours = 50 mph
Second route: Average Speed = 420 miles / 7 hours = 60 mph
Therefore, your average speed on the second route will be 10 mph higher than on the first route.