Question

4.A basketball coach purchases bananas for the players on his team. The table shows total price indollars, P, of n bananas.Which equation could represent the total price in dollars for n bananas?number ofbananas, ntotal price indollars, P4.134.727895.31105.90a.P = 0.59nb.P = 5.90 - 0.59n5.90P=C.d. P= n + 0.59ation 3x - 2y = 12.

Answer 1

Determine the ratio of P to n to check if ratio is constant or not.

$\begin{gathered} \frac{4.13}{7}=0.59 \\ \frac{4.72}{8}=0.59 \\ \frac{5.31}{9}=0.59 \\ \frac{5.90}{10}=0.59 \end{gathered}$

As the ratio is constant in each case it means P varies linerly with respect to n and they are directly proportional.

The equation can be determined as,

$\begin{gathered} \frac{P}{n}=0.59 \\ P=0.59n \end{gathered}$

Thus, option (a) is the correct solution.