Distance to the star in light years = 3 * 0.62 * 9.5 * 10^12 = 1.767 * 10^13 miles
dividng this by 17,000 gives 1.039411765 * 10^9 hours
Answer:
function a is linear and its equation is y=(5/3) x
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>
Cos y = 16 / 17.89 = 0.8944
y = cos^-1 (0.8944) = 26.57°
tan 26.57 = BA / 17.89
BA = 17.89 tan 26.57 = 8.95
tan x = 17.89 / 8.95 = 1.999
x = arctan 1.999 = 63.43
sin x = sin 63.43 = 0.8944