You have $47 to spend on music and movie downloads Each album download costs $7 and each movie download costs $8. Write and graph a linear inequality that represents this situation. Let x represent the number of albums and y the number of movies.

each album costs $7 and you buy x of them

cost of albums = 7x

each movie costs $8 and you have you have y of them

cost of movies = 8y

total cost is has to be less than $47

---> 7x + 8y < 47

sketch the graph of 7x + 8y = 47 , a straight line, and shade in the region below that line. Of course you would stay in the first quadrant, (x > 0, and y >0 , since you can't have negative number of movies and albums)

Since you can't buy partial albums and movies, both x and y have to be whole numbers.

So for solutions you would consider only ordered pairs that have whole numbers as their components.

e.g. (2, 2) or (1,5)

Step-by-step explanation: Hope this helps :)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

i believe the answer is letter c) 8

step-by-step explanation: