1 . Kyle has $4 more than twice as much money as Lana. Lana has x dollars. Kyle does not have enough money to buy a video game that costs $56, but he has enough money to buy a textbook that cost $38.

Question

A. Write a compound inequality that represents all the possible amount of money that Kyle could have in terms of X. Show your work.

B. What is the LEAST amount of money Lana could have? Show your work.

( Continued ) Lana has a whole number of dollars.
C. List the different possible amounts of money, in dollars, Lana could have. Show your work.

2. Javier has a website on which he posts photos and videos. The day he started the website, he posted 12 photos and no videos. For each day after he started the website, he posts 4 new photos and one new video.

A. Complete the table below to show the total number of photos and the total number of videos that are on the website based on the number of days since Javier started the website. ( Graph is image attached. )

B. Write the rate of change in the total number of photos on the website each day since Javier started the website. Show all work.

C. Write a linear equation to show the relationship between the total number of videos (v) on the website and the number of days (x) since Javier started the website. Show all work.

Answer 1

Kyle has 2x+4, so
38 <= 2x+4 < 56
34 <= 2x < 52
17 <= x < 26

for the photos, after x days he has 12+4x photos and x videos

Answer 2

A) 38≤2x+4<56
B) 17
C) (pick any of the following...)
-17,18,19,20,21,22