SOLUTION: The pool Entertainment company learned that by pricing a pool toy at GH¢10, local sales will reach 200 a week. Lowering the price to GH¢9 will cause sales to rise to 250 a week.

Algebra ->  Equations -> SOLUTION: The pool Entertainment company learned that by pricing a pool toy at GH¢10, local sales will reach 200 a week. Lowering the price to GH¢9 will cause sales to rise to 250 a week.      Log On


   

Question 1187052: The pool Entertainment company learned that by pricing a pool toy at GH¢10, local sales will reach 200 a week. Lowering the price to GH¢9 will cause sales to rise to 250 a week.
a. Assume that the relationship between sales price and number of toys sold is linear. Write an equation that describes the relationship in slope-intercept form. Use ordered pairs of the form (sales price, number sold).
b. Predict the weekly sales of the toy if the price is GH¢7.50.
(ii) Simon invests GH¢1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At the end of 1 year, Simon earned GH¢64.15 in interest. How much did he invest at each rate?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
ordered pair 1 is (10, 200)
ordered pair 2 is (9, 250)
the slope is -50
point slope formula is y-y1=m (x-x1) m slope an (x1, y1) point
y-250= -50 (x-9)
y=-50x+700
so the price is 7.50 the sales will be 325 units per week
This also can be looked at by noticing the price drops 1.5 units and each unit affects sales 50. That means from 9 to 7.5 will increase sales 75 units to 325.
graph%28300%2C300%2C-10%2C12%2C-50%2C700%2C-50x%2B700%2C200%2C250%2C325%29
-
x@4%
1200-x@5.9%
interest is 0.04x+0.059(1200-x)=0.04x+70.8-0.059x=64.15
so -0.019x=-6.65
x=350 GH at 4% (14 GH)
1200-x=850 GH @ .059=50.15
They add to 64.15