Question

Student council members, so Kenny to raise funds for upcoming trip. The goal is to raise more than $250. The members have already raise $65.50 if the members raise 0.75 for each candy sold which inequality and graph represent the numbers possible numbers of candies ask the members need to sell to meet the goal??

Answer 1

The inequality 0.75z + 65.50 > 250 represents the number of candies z student council members need to sell to meet their goal. The shaded region above the line signifies valid solutions. Option a is the correct choice.

The inequality that represents the possible number of candies, z, the members need to sell to meet the goal is:

0.75z+65.50 > 250

This is because the members need to raise more than $250, and they have already raised $65.50, so they need to sell enough candies to raise at least $250 - $65.50 = $184.50 more. Since each candy raises $0.75, they need to sell at least $184.50 / $0.75 = 246 candies. The inequality is "greater than" because they need to raise more than $250, not exactly $250.

The solution region is the shaded area above the line. This means that any value of z greater than 246 will satisfy the inequality.

Here are some examples of values of z that satisfy the inequality:

* 247

* 250

* 260

* 300

* 1000

In conclusion, the inequality that represents the possible number of candies, z, the members need to sell to meet the goal is
0.75z+65.50 > 250. The graph of the inequality is shown above, and the solution region is the shaded area above the line. Any value of z greater than 246 will satisfy the inequality. Option a is the correct choice.