Rational Functions — Test

Question 4 • Precalculus

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30 percent peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

Answer

y is equal to the fraction with numerator 0 point 3 repeating 32 plus 0 point 3 x and denominator 32 times 100

y is equal to the fraction with numerator 0 point 3 repeating 32 plus x and denominator 32 plus x times 100

y is equal to the fraction with numerator 0 point 3 repeating 32 plus x and denominator 32 times 100

y is equal to the fraction with numerator 0 point 3 repeating 32 plus 0 point 3 x and denominator 32 plus x times 100

Explanation

The original mix contains 30% of 32 ounces as peanuts, or 0.30 × 32 ounces. After adding x ounces of peanuts, the amount of peanuts is 0.30 × 32 + x, and the total mix is 32 + x ounces. Divide the peanut amount by the total amount and multiply by 100 to get the percentage, which is choice B.

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