Question

Robert is purchasing some equipment for his baseball team. He wants to buy some baseballs, each priced at m dollars. He has already spent b dollars on other equipment.

The following expression represents the total amount Robert will spend after buying x baseballs.



If the amount already spent by Robert on other equipment, b dollars, is doubled, then the value of m will______________________ .

If the cost of each baseball, m dollars, is tripled, then the value of b will_______________ and the value of mx will ________________________.

Answer 1

1. The value of
`m` will become
`(mx-b)/(x)`

2. The value of
`b` will become
`b-2x` and the value of
`will become [tex]3mx` from
`x`

Explanation:

Given ,

• The price of each baseball is $m dollars
• The amount he already spent on other things is $b dollars
• Let's the the total amount spent by Robert be $c. Thus ,

`c=m*x+b\\c=mx+b`

According to the question , the given amount for spending totally is a constant = $c .

Thus ,

1. If the expenditure on other equipment doubles , and payment remains constant ,

`c=m_1*x+2*b\\c=m_1x+2b\\mx+b=m_1x+2b\\m=(mx-b)/(x)`

This is the expression of price of baseball.

2. If the cost of baseball , m dollars is tripled, then value of b :

`c=m*x+b\\m*x+b=m*3*x+b_1\\b_1=b-2x`

This is the new value of the price of other equipments