The Pool Fun Company has learned​ that, by pricing a newly released Fun Noodle at $ 3 comma sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $ 4 will cause the sales to fall to 5000 Fun Noodles per day. a.  Assume that the relationship between sales​ price, x, and number of Fun Noodles​ sold, ​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (sales price, number​ sold).

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Using standard linear equation, y = m*x + c

where m = slope and c = constant

putting ordered pairs, (3,7000) and (4,5000) in the above equation, we get two equations

3*m + c = 7000         and 4*m + c = 5000

On solving,

m = -2000  and c = 13000


So, the required equation is

   y = -2000*x + 13000