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} (4.13)/(7)=0.59 \\ (4.72)/(8)=0.59 \\ (5.31)/(9)=0.59 \\ (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} (P)/(n)=0.59 \\ P=0.59n \end{gathered}`

Thus, option (a) is the correct solution.