Tim charted his distance from home.
Plot the point (12,18)
(a)
Y= distance from home (in miles)
X= minutes
(0,0) (2,6) (4,4) (6,18) (18,18) (0,20)
(b)
How many total minutes did tim stop to rest?________
How many times did Tim get closer the his home?_______
The speed from the 20th minute is miles _______ per minute. (Remember that speed is never)
To plot the point (12,18), we can plot it on a graph where the x-axis represents minutes and the y-axis represents distance from home:
(a)
The points we need to plot are:
(0,0), which means Tim starts at home and his distance is 0 miles.
(2,6), which means after 2 minutes, Tim is 6 miles away from home.
(4,4), which means after 4 minutes, Tim is 4 miles away from home.
(6,18), which means after 6 minutes, Tim is 18 miles away from home.
(18,18), which means after 18 minutes, Tim is still 18 miles away from home.
(0,20), which means Tim later returns home after an unknown amount of time.
Plotting these points on the graph, we get:
(b)
To determine the total minutes Tim stopped to rest, we need to identify the points where his distance from home remains the same. In this case, the points are (6,18) and (18,18).
Tim got closer to his home 4 times. We can determine this by looking at the y-coordinates of the plotted points compared to the y-coordinate of the point (12,18). Tim's distance from home gets closer to 18 miles at points (6,18), (18,18), (0,20), and (2,6).
The speed from the 20th minute cannot be determined with the given information.
The speed from the 18th minute to the 20th minute is miles _____ per minute. (remember that speed is never negative.)
To determine the speed from the 18th minute to the 20th minute, we need to calculate the distance covered and divide it by the time taken.
The distance covered from the 18th minute to the 20th minute can be found by subtracting the distance at the 18th minute (18 miles) from the distance at the 20th minute (18 miles).
Distance covered = 18 miles - 18 miles = 0 miles
The time taken from the 18th minute to the 20th minute is 20 minutes - 18 minutes = 2 minutes.
To find the speed, we divide the distance covered (0 miles) by the time taken (2 minutes).
Speed = Distance covered / Time taken
Speed = 0 miles / 2 minutes
Speed = 0 miles per minute
You are planning a field trip for the school to go from Indianapolis to Orlando, Florida. A round trip is 2000 miles. The school bus will average 8 miles per gallon.
How many gallons will the school bus need to make this round trip? If the cost is $3.50 per gallon of gas then what is the total fuel cost?
Write out and then solve. Show all of your steps.
To find the number of gallons the school bus will need to make the round trip, we divide the total distance by the average mileage per gallon.
Total distance = 2000 miles
Average mileage per gallon = 8 miles/gallon
Number of gallons needed = Total distance / Average mileage per gallon
Number of gallons needed = 2000 miles / 8 miles/gallon
Number of gallons needed = 250 gallons
The school bus will need 250 gallons of gas to make the round trip.
To calculate the total fuel cost, we multiply the number of gallons needed by the cost per gallon.
Cost per gallon = $3.50
Number of gallons needed = 250 gallons
Total fuel cost = Number of gallons needed * Cost per gallon
Total fuel cost = 250 gallons * $3.50/gallon
Total fuel cost = $875
The total fuel cost for the round trip will be $875.
To plot the point (12, 18) on the chart, you will locate the x-coordinate (12) on the x-axis and the y-coordinate (18) on the y-axis. This represents the point where Tim's distance from home was 18 miles after 12 minutes.
(a) Here are the given points and their coordinates:
(0, 0), (2, 6), (4, 4), (6, 18), (18, 18), (0, 20)
(b) To calculate the total minutes Tim stopped to rest, you need to identify the points where the distance from home remained the same for consecutive minutes. From the given points, you can see that Tim stopped to rest between the points (6, 18) and (18, 18). So, Tim rested for 18 - 6 = 12 minutes.
To determine how many times Tim got closer to his home, you need to identify the points where the distance from home is smaller than the previous minute. Looking at the given points, Tim gets closer to his home at points (4, 4) and (18, 18). Note that the point (6, 18) does not count because the distance remained the same as the previous minute.
To find the speed from the 20th minute, you need to calculate the change in distance divided by the change in time. However, the given information does not provide the distance at the 20th minute, so a speed calculation is not possible without additional data.