Answered

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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

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 class=

Sagot :

,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

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