Help would be much appreciated:)

Question

asked Apr 2, 2024 119k views

1 Answer

Darius Mandres · Answer 1 · 2024-04-08T04:35:15+0000

Answer:

$\sf y =\boxed{\sf 0.0574x}$ .

$\sf y =\boxed{\sf 15.50}$

Explanation:

Given that state sales tax y is directly proportional to retail price x.

This means that there is a constant k such that:

$\sf y = kx$

We are also given that an item that sells for 178 dollars has a sales tax of 10.22 dollars.

Let's plug these values into the equation y = kx.

$\sf 10.22 = k * 178$

Divide both sides by 178

$\sf (10.22 )/(178) = k$

$\sf k = 0.0574 \textsf{in 4 d.p }$

Therefore, the mathematical model that gives the amount of sales tax y in terms of the retail price x is:

$\sf y =\boxed{\sf 0.0574x}$ .

The sales tax on a 270 dollars purchase is:

$\sf y = 0.0574 * 270$

$\sf y = 15.498 \approx 15.50\textsf{ in nearest 10th}$

So the answer is:

$\sf y =\boxed{\sf 15.50}$