,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.
Explanation
The equation of a line is given as
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}[/tex]
We can then remodel the equation above to fit the given table of values. This would give;
[tex]\frac{p_2-p_1}{n_2-n_1}=\frac{p-p_1}{n-n_1}[/tex]
Next, we will pick some random points to represent the variables in the equation
[tex]\begin{gathered} p_1=4.13;p_2=4.72 \\ n_1=7;n_2=8 \end{gathered}[/tex]
Then we insert the variables into the formula.
[tex]\begin{gathered} \frac{4.72-4.13}{8-7}=\frac{p-4.13}{n-7} \\ \frac{0.59}{1}=\frac{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}[/tex]
Answer: The equation is given as p = 0.59n
