(a)
Write an inequality that describes this situation. Then solve the inequality.
(a)
Answer to Problem 39PPS
Variable is t, the number of tickets.
The inequality:
At least 187 tickets need to be sold to raise at least $1500.
Explanation of Solution
Given:
A high school drama club is performing a musical to benefit a local charity. Tickets are $5 each. They also received donations of $565. They want to raise at least $1500.
Concept Used:
- Tickets are $5 each.
- They also received donations of $565
- They want to raise at least $1500.
Let t denotes the number of tickets to be sold to raise the amount at least 1500.
The inequality:
Calculation:
The inequality:
Solve:
At least 187 tickets need to be sold to raise at least $1500.
Thus, at least 187 tickets need to be sold to raise at least $1500.
(b)
Graph the solution on the number line.
(b)
Explanation of Solution
Given:
A high school drama club is performing a musical to benefit a local charity. Tickets are $5 each. They also received donations of $565. They want to raise at least $1500.
Concept Used:
The inequality:
Solution of the inequality:
Graph the solution on the number line:
A closed, or shaded,
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