We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.
We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.
Let represent the functions as 
and 
where 
and 
represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as:
Domain of both these functions are [0,16] and ranges are [0,499.2] and [0,569.6] respectively for years 2007 and 2012.
The difference function will be:
Domain of this function is [0,16] and range is [0,67.2].
The graphs are shown below.
Answer:
The advantage to the lender would be that he’s getting money & if the person doesn’t pay the rest of the price they at least got some money , and the advantage for the borrower is that they can pay the rest later.
Step-by-step explanation:
-81, -3, -1, 0, 1, 2, 141.
To find the the maximum value of a function, we set the first derivative equal to 0 and solve for the critical points. The first derivative is:
h'(t) = -32t + 36
Now we will find the critical points:
-32t + 36 = 0
-4(8t-9) = 0
8t - 9 = 0
t = 9/8
As a decimal, the answer is 1.125
To find the maximum height, we plug t = 1.125 into h(t):
h(1.125) = -16(1.125)^2 + 36(1.125) + 5 = 25.25
So the maximum height is 25.25 feet at 1.13 seconds.
Answer:6h+9
Step-by-step explanation:
-3(-2h-3)
Open the brackets
6h+9
