Question

A children'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
@gerryliyana

Answer 1

It's A

50 + 6.25x \[50 + 6.25x \le 100; x \le 8\]

Answer 2

\[50 + 6.25x \le 100; x \le8\]

Answer 3

Ok so what do you have to do to get that

Answer 4

number of childrens = x
total cost <= 100
cost for x children's = 6.25x
so final equation should be 6.25x + 50 <= 100

Answer 5

Oh ok thank you! I have some more questions.

Answer 6

go ahead

Answer 7

Ok next question: The gray area is the sidewalk. The area of the sidewalk is ___________ square units.


A)
48


B)
56


C)
72


D)
84
Pic: http://www.usatestprep.com/modules/gallery/files/4/409/409.gif

Answer 8

The area of the sidewalk = the gray box area - the green box are

have you tried it?

Answer 9

I sorta don't know how to do it.

Answer 10

first, you are supposed to find the gray (big) area (including green area in it) and the green area

Answer 11

Ok so that would be 120

Answer 12

yes, and the green area would be 48

Answer 13

Ok

Answer 14

So would we divide that?

Answer 15

No

Answer 16

Oh so what do we do next?

Answer 17

The area of the sidewalk = the gray box area - the green box area

Answer 18

The area of the sidewalk = the gray box area - the green box are
The area of the sidewalk = 120 - 48

Answer 19

And that would be 72

Answer 20

yes!!

Answer 21

So it would be 72

Answer 22

yes good job!

Answer 23

the answer is C

Answer 24

Awesome! Well that's it for me tonight. Thank you so much! Will you be on Open Study tomorrow?

Answer 25

you are very welcome. Yes I will

Answer 26

Ok I will see you tomorrow then! Bye!

Answer 27

ok, bye