A company offers three formulas for the daily salary

MATHEMATICS · Multi-part · CBSE · Mathematics · Algebra Play · Algebra Play

Problem

A company offers three formulas for the daily salary, in dollars, of its salespeople, depending on the number of sales

s

made each week:

Formula A	Formula B	Formula C
$A(s)=100+0.10s$	$B(s)=150+0.05s$	$C(s)=175$

(1) How many sales must be made under the sales function

A(s)

to receive

200

dollars a day? (2) How many sales must be made under the sales function

C(s)

to receive

200

dollars a day? (3) At what sales level do options

A(s)

and

B(s)

produce the same salary? (4) At what sales level do options

A(s)

and

C(s)

produce the same salary? (5) At what sales level do options

C(s)

and

B(s)

produce the same salary?