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Scarlett went shopping for a new phone. Sales tax where she lives is 
5.75%. What number should she multiply the price of the phone by to find the total plus tax in one step?
Answer:

Scarlett went shopping for a new phone. Sales tax where she lives is 5.75% 5.75 \% . What number should she multiply the price of the phone by to find the total plus tax in one step?\newlineAnswer:

Full solution

Q. Scarlett went shopping for a new phone. Sales tax where she lives is 5.75% 5.75 \% . What number should she multiply the price of the phone by to find the total plus tax in one step?\newlineAnswer:
  1. Multiply by Total Factor: To find the total cost including tax in one step, Scarlett needs to multiply the price of the phone by a factor that includes both the original price and the sales tax. The sales tax is 5.75%5.75\%, which means that for every dollar, an additional $0.0575\$0.0575 is charged as tax.
  2. Add Original Price: To include the original price of the phone, we start with the number 11 (which represents 100%100\% of the original price). To this, we need to add the sales tax rate expressed as a decimal.
  3. Convert Tax Rate: The sales tax rate is 5.75%5.75\%, which as a decimal is 0.05750.0575. We add this to 11 to get the total factor.\newlineTotal factor = 1+0.05751 + 0.0575
  4. Calculate Total Factor: Performing the addition gives us:\newlineTotal factor = 1+0.0575=1.05751 + 0.0575 = 1.0575\newlineThis is the number Scarlett should multiply the price of the phone by to find the total cost including tax in one step.

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