Q: The total cost of a holiday package to a warm climate in January can be modeled using the formula C=x+0.12x+0.15x+38. C is the total cost in dollars. x is the list price of the package in dollars. 0.12 is the tax rate, 12%. 0.15 is the service charge rate,15%. 38 is the airport tax in dollars. Find the list price when the total cost of the holiday package is $3338.73.
A: The nice thing here is that they set up the equation for you!
C = x + 0.12x + 0.15x + 38
We are asked to find the list price, which is x. They tell us the total cost is $3338.73. So, C = $3338.73.
Plug in that value for C to get:
$3338.73 = x + 0.12x + 0.15x + 38
Now we just have to solve for x (start by combining all of the x terms: x + .12x + .15x):
$3338.73 = 1.27x + 38
Subtract 38 from both sides:
3300.73 = 1.27x
Divide both sides by 1.27:
2599 = x
So, the list price was $2,599.