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

Answer:

1. The value of $m$ will become $\frac{mx-b}{x}$

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

Step-by-step 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 ,

$c=m_1*x+2*b\\c=m_1x+2b\\mx+b=m_1x+2b\\m=\frac{mx-b}{x}$

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