Amelia chose 3 CD's that each cost $16. The sales tax on the three CD's is $3.96. Write a direct variation equation relating sales tax to the price.
To write a direct variation equation, we need to understand that sales tax is directly proportional to the price of the CD's. Let's denote the price of the CD's as "p" and the sales tax as "t".
Since the price of each CD is $16 and Amelia chose 3 CDs, the total price of the CD's (p) can be calculated as follows:
p = 16 * 3
p = 48
Therefore, the direct variation equation relating sales tax (t) to the price (p) is:
t = kp
Now, we need to find the value of the constant of variation (k) using the given information. We know that when p = 48, t = $3.96.
Using this information, we can solve for k as follows:
3.96 = k * 48
k = 3.96 / 48
k = 0.0825
So, the direct variation equation relating sales tax (t) to the price (p) is:
t = 0.0825p
To write a direct variation equation relating sales tax to the price, we need to find the constant of variation. The constant of variation can be found by dividing the sales tax by the price.
The total price of the three CDs is 3 * $16 = $48.
Therefore, the constant of variation is $3.96 / $48.
Let's write the direct variation equation:
Sales tax = constant of variation * Price
Substituting the values:
Sales tax = ($3.96 / $48) * Price
Simplifying:
Sales tax = $0.0825 * Price
So, the direct variation equation relating sales tax to the price is:
Sales tax = $0.0825 * Price
3.96/16 = .2475
direct variation has a relation written as
y = kx
tax = .2475 * price