The green line is LM
The red line is JM
The blue point is at the coordinates (2/3, -14/3)
you'll have to excuse the way my graph looks. my graphing application on my computer is weird
$1.44
each one cost 0.24
0.24 x 6 = 1.44
Answer: 12+x=-3(4-x) = x = 12
Step-by-step explanation:
Not sure if you want the explaintion but ill give you an answer its : x = 12
To check how much Tim will pay to refill the gas tank using one of the on-site pumps, we can create a linear model. We know from our problem that the Renter's charge $4.50 per gallon plus a $5.00 refueling, so let
be the number of gallons and
the total cost.
We also know that the fuel tank in the car is half empty and t<span>he car has a 12-gallon fuel tank, so half tank is 6 gallons. Lets replace the number of gallons in our linear model with 6 to fin the total cost:
</span>
Now, to find how much Tim will pay if he decides to refuel the car on his own, we can also create a linear model.
Let
be the number of gallons and
the total cost. We know form our problem that <span>refueling the car on his own will cost $2.59 per gallon and the late fee charge is $32.
</span>
<span>We already know that half tank is 6 gallons, so
</span>
<span>
Comparing the result of our two linear models we can conclude that the correct answer is: </span><span>
b. It would be cheaper to return the car on time and pay the refueling costs.</span>
Let's say you are given the equation 4(x+5). What you must do is distribute the 4 to everything inside the parenthesis. What this means is that you multiply everything inside the parenthesis by the number outside the parenthesis (in this equation that would be 4). For example, the equation 4(x+5) would distribute as (4*x)+(4*5). This would then become 4x+20.
