Question

you just found that when f = 8, p must equal 2 to make the equation true. what does that mean? $3p + 4f = 38$ $3p + 4 \cdot 8 = 38$ $3p + 32 = 38$ $p = 2$ if you buy 8 funnel cakes, then you can buy popsicles and spend exactly dollars.

Explanation:

Step1: Interpret variable meanings

The equation $3p + 4f = 38$ represents total spending, where $f$ = number of funnel cakes, $p$ = number of popsicles, 4 = cost per funnel cake, 3 = cost per popsicle, 38 = total budget.

Step2: Match given values to context

When $f=8$ (8 funnel cakes), solving gives $p=2$. The total spent is the right-hand side of the equation, 38.

Answer:

If you buy 8 funnel cakes, then you can buy 2 popsicles and spend exactly 38 dollars.