Answered

There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffle. The equation [tex] T - 6P = 100 [/tex] describes this relationship, where [tex] T [/tex] is the expected number of tickets sold, and [tex] P [/tex] is the dollar value of the raffle prize. Suppose the expected ticket sales for a certain raffle are 1900. Determine the dollar value of the raffle prize.

a. [tex] \$11,500 [/tex]
b. [tex] \$300 [/tex]
c. [tex] \$1,800 [/tex]
d. [tex] \$250 [/tex]



Answer :

GinnyAnswer
To determine the dollar value of the raffle prize given the relationship [tex]\( T - 6P = 100 \)[/tex] and the expected number of tickets sold [tex]\( T = 1900 \)[/tex], we need to solve for [tex]\( P \)[/tex].

1. Substitute the given value of [tex]\( T \)[/tex] into the equation:
[tex]\[ 1900 - 6P = 100 \][/tex]

2. Rearrange the equation to isolate the term with [tex]\( P \)[/tex]:
[tex]\[ 1900 - 100 = 6P \][/tex]
[tex]\[ 1800 = 6P \][/tex]

3. Solve for [tex]\( P \)[/tex] by dividing both sides of the equation by 6:
[tex]\[ P = \frac{1800}{6} \][/tex]
[tex]\[ P = 300 \][/tex]

Therefore, the dollar value of the raffle prize is [tex]\(\$ 300\)[/tex].

The correct answer is:
b. [tex]\(\$ 300\)[/tex]

Other Questions