Answer:
[tex]2\frac{1}{4} gallon per hour[/tex]
Step-by-step explanation:
The rate at which the truck will consume gas depends on some factors which include:
Assuming all the conditions are uniform throughout the journey, then,
the rate at which the truck is using gas = [tex]\frac{Total gas used}{Time taken}[/tex]
Time taken = The number of hours you have been driving = x
x = 4 hours
Total gas used = Volume of gas in the tank at start - Volume of gas left in the tank
Total gas used = 15 gallons - y
Total gas used = 15 gallons - 6 gallons
Total gas used = 9 gallons
The rate at which the truck is using gas = [tex]\frac{9 gallons}{4 hours}[/tex]
= [tex]\frac{9}{4} gallon per hour[/tex]
= [tex]2\frac{1}{4} gallon per hour[/tex] (reduced fraction)
Answer:
The rate is 2 1/4 gallons per hour
Step-by-step explanation:
Let
x -----> the number of hours you have been driving
y ----> the number of gallons left in the tank
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the unit rate or the slope
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have the points
(0,15) and (4,6)
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the given values
[tex]m=\frac{6-15}{4-0}[/tex]
[tex]m=-\frac{9}{4}\ \frac{gal}{h}[/tex] ----> is negative because is a decreasing function
Convert to mixed number
[tex]\frac{9}{4}\ \frac{gal}{h}=\frac{8}{4}+\frac{1}{4}=2\frac{1}{4}\ \frac{gal}{h}[/tex]
therefore
The rate is 2 1/4 gallons per hour
