Achildren's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. gina wants to spend no more than $100 on her son's fourth birthday party. write an inequality for the number of children who can attend the birthday party, and solve the inequality.

a)
50 + 6.25x ≤ 100; x ≤ 8

b)
50 + 6.25x ≥ 100; x ≥ 8

c)
50 + 6.25x < 100; x < 8

d)
50 + 6.25x > 100; x > 8

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.