Studdy AI Logo
Math

QuestionLeila buys a dinosaur model for xx dollars plus 7%7\% tax. Which expressions show her total cost? Choose 2: A 107100x\frac{107}{100} x B 0.7x+x0.7 x+x C 1.07x1.07 x D x+710xx+\frac{7}{10} x E 1.7x1.7 x

Studdy Solution

STEP 1

Assumptions1. The price of the dinosaur model is xx dollars. . The tax rate is7%.
3. The tax is calculated on the price of the model.
4. The total cost is the sum of the price of the model and the tax.

STEP 2

First, we need to find the tax amount on the price of the model. We can do this by multiplying the price of the model by the tax rate.
Tax=Price of the modeltimesTax rateTax = Price\, of\, the\, model \\times Tax\, rate

STEP 3

Now, plug in the given values for the price of the model and tax rate to represent the tax.
Tax=xtimes7%Tax = x \\times7\%

STEP 4

Convert the percentage to a decimal value.
7%=0.077\% =0.07Tax=xtimes0.07Tax = x \\times0.07

STEP 5

Now that we have the tax amount, we can find the total amount Leila has to pay. This includes both the price of the model and the tax.
Total amount=Price of the model+TaxTotal\, amount = Price\, of\, the\, model + Tax

STEP 6

Plug in the values for the price of the model and the tax to represent the total amount.
Total amount=x+xtimes0.07Total\, amount = x + x \\times0.07

STEP 7

This can be simplified to a single expression by factoring out xx.
Total amount=x(1+0.07)Total\, amount = x(1 +0.07)

STEP 8

implify the expression inside the parentheses.
Total amount=x(1.07)Total\, amount = x(1.07)This is equivalent to option C 1.07x1.07x.

STEP 9

Alternatively, we can express the total amount using fractions instead of decimals. The tax rate of7% can be expressed as 7100\frac{7}{100}.
Total amount=x+xtimes7100Total\, amount = x + x \\times \frac{7}{100}

STEP 10

This can be simplified to a single expression by factoring out xx.
Total amount=x(+7100)Total\, amount = x( + \frac{7}{100})

STEP 11

implify the expression inside the parentheses.
Total amount=x(107100)Total\, amount = x(\frac{107}{100})This is equivalent to option A 107100x\frac{107}{100}x.
Therefore, the correct answers are options A and C.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord