The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

7 0

Option D is the correct answer.

Explanation:

As given, if the car is returned with a fuel level below the mentioned level, it will be completely re-fueled and the cost will be added to Tim's total bill.

As, the fuel needed to fill the car is 11.75 gallons and cost of a gallon is $4.50, so total cost becomes

= $11.75\times4.50=52.875$

And the cost of re fueling is $5, so total cost becomes = $52.875+5=57.875$ ≈ $57.88

So, total cost is $57.88 (option D)

vitfil [10]3 years ago

4 0

Answer:

b. $31.44

Step-by-step explanation:

The tank holds 11.75 gallons. Tim will need to get half of this amount to bring the tank back up to half full; this is

11.75/2 = 5.875

The gas costs $4.50 per gallon; this means the cost is

5.875(4.50) = 26.4375 ≈ 26.44.

There is also a $5 refueling charge; this makes the total cost

26.44+5 = 31.44

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3 years ago

Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$