you find a sales receipt from a store that shows the total price as $40, and the total amount paid including sales tax as $42.

a. Write an equation you can use to find the sales tax rate r.

b. Can you use r to find the percent for the sales tax?

rate=tax/price=(42-40)/2

percent= r*100

a. To find the sales tax rate r, we can set up the equation:

Total amount paid including sales tax - Total price = Sales tax amount

$42 - $40 = Sales tax amount

$2 = Sales tax amount

Now, we can write the equation using the sales tax rate r:

Sales tax rate (r) * Total price = Sales tax amount

r * $40 = $2

b. Yes, we can use r to find the percent for the sales tax. The percent for the sales tax can be calculated by multiplying the sales tax rate r by 100. So, in this case, we can find the percent for the sales tax by multiplying r by 100.

a. To find the sales tax rate, we can set up an equation using the given information. Let's let r represent the sales tax rate as a decimal (e.g., if the sales tax rate is 10%, then r would be 0.10).

The equation that relates the total price, sales tax rate, and the total amount paid is:

Total Price + (Sales Tax Rate * Total Price) = Total Amount Paid

In this case, the total price is $40, the sales tax rate is r, and the total amount paid is $42. Substituting these values into the equation, we get:

$40 + (r * $40) = $42

b. Yes, we can use the sales tax rate r to find the percent for the sales tax. The sales tax rate is usually expressed as a decimal, but we can convert it to a percentage by multiplying it by 100.

For example, if the sales tax rate r is 0.10, we can convert it to a percentage by multiplying it by 100:

0.10 * 100 = 10%

Therefore, a sales tax rate of 0.10 is equivalent to a sales tax of 10%.

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