a Begin by finding the initial amount of money in the activities account.
B
b The sum of the expenses of 6 meetings and the amount of money left in the account will give us the total amount of money in the account at the beginning.
C
c 20
A
a y=500-2x
B
b $500
C
c To find the number meeting that can be covered by $500, substitute y=0 into the equation in part (a) and solve it for x.
Practice makes perfect
a There were 6 meetings at the beginning and each meeting costs $25. We can find the expenses of 6 meetings by multiplying the cost of each meeting by the number of meetings.
Expenses: 6* 25= 150The sum of the expenses and the amount of money left in the account will give us the total amount of money in the account at the beginning.
Initial Amount: 150+350=500
Now we can write the equation. Let y be the amount of money in the activities account after having x number of meetings.
Verbal Expression
Algebraic Expression
Initial amount in the activities account ($)
500
Cost of having x number of meetings ($)
25 x
The amount of money after having x number of meeting is $y.
y=500- 25 x
b The sum of the expenses of 6 meetings and the amount of money left in the account will give us the total amount of money in the account at the beginning.
Initial Amount: 150+350=500
c To find the number meeting that can be covered by $500, we will substitute y=0 into the equation in part (a) and solve it for x. Let's do it!