Question

the price of gasoline purchased varies directly with the number of gallons purchased. if 10 gallons of gasoline are purchased for $23, what will the price of 15 gallons be? $______ enter the answer

Explanation:

Step1: Define direct variation formula

Let \(p\) = price, \(g\) = gallons. Direct variation: \(p = kg\), where \(k\) is constant.

Step2: Solve for constant \(k\)

Substitute \(p=23\), \(g=10\):
\(23 = k \times 10\)
\(k = \frac{23}{10} = 2.3\)

Step3: Calculate price for 15 gallons

Substitute \(k=2.3\), \(g=15\):
\(p = 2.3 \times 15\)

Answer:

34.5