To calculate the average speed for each route, we need to divide the distance traveled by the time taken.
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 is 10 mph higher than on the slower route (60 mph - 50 mph = 10 mph).
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?
50 mph
60 mph
20 mph
10 mph
5 answers
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?
$2.00
$2.40
$4.40
$0.40
$2.00
$2.40
$4.40
$0.40
To determine the cost difference between the two types of candy, we need to calculate the price for each option and then subtract the cost of the Red Snaps from the cost of the Blue Tarts.
8 ounces of Red Snaps cost $0.25 per ounce, so the total cost would be 8 ounces * $0.25/ounce = $<<8*0.25=2.00>>2.00.
8 ounces of Blue Tarts cost $0.30 per ounce, so the total cost would be 8 ounces * $0.30/ounce = $<<8*0.30=2.40>>2.40.
Therefore, it would be $2.40 - $2.00 = $0.40 more expensive to get a bag of Blue Tarts instead of a bag of Red Snaps.
8 ounces of Red Snaps cost $0.25 per ounce, so the total cost would be 8 ounces * $0.25/ounce = $<<8*0.25=2.00>>2.00.
8 ounces of Blue Tarts cost $0.30 per ounce, so the total cost would be 8 ounces * $0.30/ounce = $<<8*0.30=2.40>>2.40.
Therefore, it would be $2.40 - $2.00 = $0.40 more expensive to get a bag of Blue Tarts instead of a bag of Red Snaps.
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.
y equals 0.125x
y equals 0.1x
y equals 10 x
y equals 8x
y equals 0.125x
y equals 0.1x
y equals 10 x
y equals 8x
To determine the equation where y represents the number of miles and x represents the time in minutes for the day you ran the fastest for the week, we need to compare the average speed (miles per minute) for both days.
On Monday, you ran 4 miles in 40 minutes, resulting in an average speed of 4 miles / 40 minutes = 0.1 miles per minute.
On Wednesday, you ran 2 miles in 16 minutes, resulting in an average speed of 2 miles / 16 minutes = 0.125 miles per minute.
Since we are looking for the day you ran the fastest, we need to choose the equation with the greater average speed. Therefore, the correct equation is y equals 0.125x.
On Monday, you ran 4 miles in 40 minutes, resulting in an average speed of 4 miles / 40 minutes = 0.1 miles per minute.
On Wednesday, you ran 2 miles in 16 minutes, resulting in an average speed of 2 miles / 16 minutes = 0.125 miles per minute.
Since we are looking for the day you ran the fastest, we need to choose the equation with the greater average speed. Therefore, the correct equation is y equals 0.125x.