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)

Question

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

10 mph
10 mph

20 mph
20 mph

50 mph
50 mph

60 mph

Answer 1

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

$0.40
$0.40

$2.00
$2.00

$2.40

Answer 2

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=0.125x
y equals 0.125x

y=10x
y equals 10 x

y=0.1x
y equals 0.1x

y=8x

Answer 3

To determine the average speed on each route, we can use the formula: Average Speed = Total Distance / Total Time.

For the first route, the equation would be: Average Speed = 400 miles / 8 hours = 50 mph.

For the second route, the equation would be: Average Speed = 420 miles / 7 hours = 60 mph.

Therefore, the average speed on the faster route is 60 mph. The difference between the average speeds of the two routes is 60 mph - 50 mph = 10 mph. Thus, your average speed will be 10 mph higher on the faster route.

Answer 4

To calculate the average rate of speed, we can use the formula: speed = distance / time.

For the first route, the distance is 400 miles and it takes 8 hours. So the equation is speed_1 = 400 / 8.

For the second route, the distance is 420 miles and it takes 7 hours. So the equation is speed_2 = 420 / 7.

Now we can calculate the speeds:

speed_1 = 400 / 8 = 50 mph

speed_2 = 420 / 7 = 60 mph

Therefore, the average speed on the faster route (route 2) is 60 mph, which is 10 mph higher than the average speed on the slower route (route 1).