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)
O 20 mph
O 10 mph
O 50 mph
O 60 mph
To find the average speed of each route, we need to divide the distance by the time taken. Let's calculate the average speed for each route:
For the first route, traveling 400 miles in 8 hours, the average speed would be:
400 miles ÷ 8 hours = 50 mph
For the second route, traveling 420 miles in 7 hours, the average speed would be:
420 miles ÷ 7 hours = 60 mph
Thus, the average speed on the faster route is 60 mph – 50 mph = 10 mph higher. Therefore, the correct answer is:
O 10 mph
A candy store sells different types of candy by the ounce Red Snaps cost $0.25 per ounce and True Dang ounce. You decide to buy 8 ounces of candy to share with your friends mu bag of Blue Tarts instead of a bag of Red Soaps? (pons
O $2.40
O $2.00
O $4.40
$0.40
To calculate the cost of the candy, we need to multiply the price per ounce by the number of ounces.
For Red Snaps:
Price per ounce = $0.25
Number of ounces = 8
Total cost of Red Snaps = $0.25/ounce * 8 ounces = $2.00
For True Dang ounce:
Price per ounce = $0.40
Number of ounces = 8
Total cost of True Dang ounce = $0.40/ounce * 8 ounces = $3.20
Comparing the cost of the two types of candy, we can see that the bag of Blue Tarts (True Dang ounce) is more expensive at $3.20. Therefore, the correct answer is:
O $3.20
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)
$2 40
$2.00
O $4.40
O $0.40
To calculate the price difference between Red Snaps and Blue Tarts, we need to subtract the cost of Red Snaps from the cost of Blue Tarts.
For Red Snaps:
Price per ounce = $0.25
Number of ounces = 8
Total cost of Red Snaps = $0.25/ounce * 8 ounces = $2.00
For Blue Tarts:
Price per ounce = $0.30
Number of ounces = 8
Total cost of Blue Tarts = $0.30/ounce * 8 ounces = $2.40
To find the price difference, we subtract the cost of Red Snaps from the cost of Blue Tarts:
$2.40 - $2.00 = $0.40
Therefore, it would be $0.40 more expensive to get a bag of Blue Tarts instead of a bag of Red Snaps. Thus, the correct answer is:
O $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 minutos Write an equation where y is the number of miles and 2 is the time in minutes for the day you ran the fastest
for the week (1 point)
y = 10x
v = 0.1x
y = 0.125x
u = 8x
To write the equation where y is the number of miles and 2 is the time in minutes for the day you ran the fastest, we can use the formula for speed, which is distance divided by time. In this case, since we want to find the number of miles for a specific time of 2 minutes:
y = distance (miles)
2 = time (minutes)
Therefore, the equation would be:
y = kx
where k is the speed in miles per minute.
We can substitute the given values:
4 = 40k (for Monday)
2 = 16k (for Wednesday)
Simplifying both equations:
k = 4/40 = 0.1
k = 2/16 = 0.125
Since we want the fastest day, we choose the higher speed, which is 0.125. Hence, the equation would be:
y = 0.125x
Therefore, the correct answer is:
y = 0.125x