Question

6. A basketball coach purchases bananas for the players on his team. Thetable shows total price in dollars. P. of n bananas. Which equation couldrepresent the total price in dollars for n bananas?number of bananastotal price in dollars74.13B47295.31105.90O P = 0.596O P = 5.90-0.59O P = 590//O Pan0.59

Answer 1

,Given the table of values we can find the equation that will represent the total price in dollars for the bannana by using the equation of a line.

Step-by-step explanation

The equation of a line is given as

`(y_2-y_1)/(x_2-x_1)=(y-y_1)/(x-x_1)`

We can then remodel the equation above to fit the given table of values. This would give;

`(p_2-p_1)/(n_2-n_1)=(p-p_1)/(n-n_1)`

Next, we will pick some random points to represent the variables in the equation

`\begin{gathered} p_1=4.13;p_2=4.72 \\ n_1=7;n_2=8 \end{gathered}`

Then we insert the variables into the formula.

`\begin{gathered} (4.72-4.13)/(8-7)=(p-4.13)/(n-7) \\ (0.59)/(1)=(p-4.13)/(n-7) \\ p-4.13=0.59(n-7) \\ p-4.13=0.59n-4.13 \\ p=0.59n+4.13-4.13 \\ p=0.59n \end{gathered}`

Answer: The equation is given as p = 0.59n