Question

A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach its goal.

Which of the following must be true about the inequality and the resulting graph? Select three options.

Answer 1

They need to sell at least 200 chocolate to have at least $500.

Explanation:

The sports club sells $2.50 each bar of chocolate.

They need to reach at least $500.

The expression that models this situation is

`2.50c\geq 500`

Where
`c` is the number of chocolate bars.

Observe that we use the sign
`\geq`, that is because the problem specifies that "at least" the need $500, which is a minimum restriction.

Let's solve for
`c`

`2.50c\geq 500\\c \geq (500)/(2.50)\\ c\geq 200`

Therefore, they need to sell at least 200 chocolate to have at least $500.