Sophia is buying her first car. She wants a Volkswagon Jetta. It costs $21,345 plus $2,500 for upgrades like floor mats and a sunroof. The Georgia sales tax on the car will be 7%. What will be the total of her loan with upgrades including sales tax? Round to the nearest whole number. (Watch this video if you need support with sales tax proportions. LINK)
A. What will be the total of the car price plus upgrades? Show your work.
The total cost of the car plus upgrades is $21,345 + $2,500 = $23,845.
B. How do you know find 7% of your total in part A? Show your proportion and work. Explain your process.
To find 7% of the total cost calculated in part A, we can set up a proportion.
Let the total cost be x.
7% of x can be represented as (7/100)x.
According to the proportion:
(7/100)x = 0.07x = 7% of x
To find the value of x, we set up the equation:
0.07x = 23,845
Now, we solve for x:
x = 23,845 / 0.07 = 340,642.86
Rounding to the nearest whole number, the total loan amount including sales tax will be $340,643.
C. What will be the total of Safia's loan with upgrades INCLUDING sales tax? Show your work.
To find the total loan amount with upgrades including sales tax, we need to add the total cost of the car plus upgrades (calculated in part A) to the sales tax.
The sales tax is calculated by multiplying the total cost of the car plus upgrades by the sales tax rate, which is 7% or 0.07.
Sales tax = (0.07)(total cost of car plus upgrades) = 0.07($23,845) = $1,669.15
Therefore, the total loan amount including sales tax will be:
Total loan amount = total cost of car plus upgrades + sales tax
Total loan amount = $23,845 + $1,669.15
Total loan amount = $25,514.15
Rounded to the nearest whole number, the total loan amount with upgrades including sales tax will be $25,514.