Question

A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the rt students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T' dollars, and to donate to a cat shelter and a dog shelter, On the next page, match cach quantity to an expression, an equation, or an inequality that describes it The dollar amount the club would have if they reached one-fourth of their goal. The dollar amount the club would have revery student at the school donated a quarter to the cause. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter. The dollar amount the club would have all three-fourths of the students at the school each gave 50 cents 3​

Answer 1

Answer:

1. 0.25T

2. 0.25n

3. T - 0.25T

4. T - 0.25n

5. 0.75n × 0.5

Step-by-step explanation:

1. The dollar amount the club would have if they reached one-fourth of their goal.

Since the goal is to raise T dollars

One-fourth of T = ¼ × T = 0.25T

2. The dollar amount the club would have if every student at the school donated a quarter to the cause.

Let the number of students in the school be n

Since there are n students in the school, amount raised = ¼ × n = 0.25n

3. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter.

Since they reached their goal, the total amount they raised= T dollars

They gave a quarter of the total donation to a dog shelter = ¼T = 0.25T

Amount left to donate to the cat shelter =  T - 0.25T

4. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter.

Amount donated if every student donated a quarter = ¼n = 0.25n

Amount still needed = T - 0.25n

5. The dollar amount the club would have if three-fourths of the students at the school each gave 50 cents

Three-fourths of the students = ¾n = 0.75n

50 cents = 0.5 dollars

Amount raised if three-fourths of the students gave 50 cents = 0.75n × 0.5