The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.
What is the unit rate for the distance traveled to the amount of gasoline used?
Enter your answer in the box.
mpg
The graph shows distance traveled, in miles, on the y-axis and gasoline used, in gallons, on the x-axis. The line y equals seven x goes through begin ordered pair 5 comma 35 end orderd pair and begin ordered pair 1 comma 7 end ordered pair.
To find the unit rate for the distance traveled to the amount of gasoline used, we need to determine the slope of the line.
Using the two ordered pairs given, we can calculate the slope using the formula:
slope = (change in y) / (change in x)
For the first ordered pair (5, 35) and the second ordered pair (1, 7), the change in x is (5 - 1) = 4, and the change in y is (35 - 7) = 28.
Therefore, the slope is 28/4 = 7.
The slope of 7 represents the amount of distance traveled (in miles) for every 1 unit of gasoline used (in gallons).
Therefore, the unit rate for the distance traveled to the amount of gasoline used is 7 miles per gallon (mpg).
To find the unit rate for the distance traveled to the amount of gasoline used, we need to determine how much distance is traveled for every unit of gasoline used.
From the given information, we can see that the line goes through the points (5, 35) and (1, 7).
Let's calculate the change in distance and change in gasoline for this line:
Change in distance = 35 - 7 = 28 miles
Change in gasoline = 5 - 1 = 4 gallons
Now, let's find the unit rate:
Unit rate = Change in distance / Change in gasoline
= 28 miles / 4 gallons
= 7 miles per gallon
Therefore, the unit rate for the distance traveled to the amount of gasoline used is 7 miles per gallon (mpg).
To find the unit rate for the distance traveled to the amount of gasoline used, we need to determine how many miles the truck can travel per gallon of gasoline.
From the given information, we can see that the line y = 7x represents the relationship between distance traveled (y) and gasoline used (x). The slope of this line, 7, represents the rate of change or the number of miles the truck can travel per gallon of gasoline.
Therefore, the unit rate for distance traveled to the amount of gasoline used is 7 miles per gallon (mpg).