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The pool fun company has learned that by pricing a newly released fun noodle at $5 sales will reach 8000 fun noodles per day during the summer. raising the price to $6 will cause the sales to fall to 3000 fun noodles per day. a. type the equation (type in slope Intercept form) b. predict the daily sales of Fun noodles if the price is $5.50

Answer :

If we graph price vs sales, the corresponding coordinates are (5,8000) and (6,3000).

Calculate the slope,

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{3000-8000}{6-5} \\ m=-5000 \end{gathered}[/tex]

Calculate the equation of line in slope intersept form.

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-8000=-5000(x-5) \\ y-8000=-5000x+25000 \\ y=-5000x+33000 \end{gathered}[/tex]

Put 5.50 for x implies,

[tex]\begin{gathered} y=-(5000\times5.5)+33000 \\ y=5500 \end{gathered}[/tex]

Thus, the daily sales of fun noodels is 5500.

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