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The price, in dollars, of a visit to the dentist is calculated according to the formula 
50+100 n, where 
n is the number of cavities the dentist finds. On Vanessa's last visit, the dentist found 2 cavities. What was the cost, in dollars, of Vanessa's visit?

The price, in dollars, of a visit to the dentist is calculated according to the formula 50+100n 50+100 n , where n n is the number of cavities the dentist finds. On Vanessa's last visit, the dentist found 22 cavities. What was the cost, in dollars, of Vanessa's visit?

Full solution

Q. The price, in dollars, of a visit to the dentist is calculated according to the formula 50+100n 50+100 n , where n n is the number of cavities the dentist finds. On Vanessa's last visit, the dentist found 22 cavities. What was the cost, in dollars, of Vanessa's visit?
  1. Given Formula Substitution: We are given the formula for calculating the cost of a visit to the dentist, which is 50+100n50 + 100n, where nn is the number of cavities found. We need to substitute nn with the number of cavities found in Vanessa's case, which is 22.\newlineCalculation: 50+100×250 + 100 \times 2
  2. Multiplication Calculation: Now we perform the multiplication part of the calculation first, according to the order of operations (PEMDAS/BODMAS).\newlineCalculation: 100×2=200100 \times 2 = 200
  3. Addition Calculation: Next, we add the result of the multiplication to the base cost of the visit, which is 5050 dollars.\newlineCalculation: 50+200=25050 + 200 = 250

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