Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;

by cross multiply we get;

using distributive property;

Subtract 42.56x from both sides we get;

Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:

In this case, F(x) = 
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) = 
F(a) = 

The answer is 8.
Answer:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:
f
(
x
)
= x
^2
, [
2
,
3
]
The rate of Change is 2
Step-by-step explanation: