Question

the table below shows the cost of gasoline based on the number of gallons purchased.
gallons purchased | cost of gasoline
5 | $16.25
8 | $26.00
11 | $35.75
14 | $45.50
which equation represents the cost, y, of x gallons of gasoline?
a. $y = 3.25x$
b. $y = 3.25 + x$
c. $y = 0.31x$
d. $y = 0.31 + x$

Explanation:

Step1: Calculate unit cost

Unit cost = Cost ÷ Gallons. For 5 gallons: $\frac{16.25}{5} = 3.25$

Step2: Verify unit cost consistency

Check 8 gallons: $8×3.25 = 26.00$, matches table.

Step3: Formulate equation

Cost $y = 3.25×$ gallons $x$ → $y=3.25x$

Answer:

A. $y = 3.25x$