LINEAR EQUATIONS
A bakery discovers that if it decreases the price of its birthday cakes by $1, it sells 12
more cakes each month.
(a) Assuming that monthly sales, M, are related to prices, P, by a linear model
M= aP + b, state the value of a.
(b) If the bakery sells 240 cakes in a month when the price of the cake is $14, work out
the value of b.
(c) Use this model to estimate monthly sales when the price is $9.
(d) If the bakery can make only 168 cakes in a month, work out the price that it needs
to charge to sell them all.