What region the less than would represent. For example here, you're buyingĨ games and 16 songs. S and g, where you're buying at least 15 games. The integer coordinates here, they represent combinations of Should think about the integer coordinates, because we're not All of this area- if you pickĪny coordinate here, it represents- and really you Greater than 15, we're going to go above the line. So it would look somethingĬonnect these two dots. Is equal to 15, we would just have to connect theseĬonnect these dots. Values equivalent to that or greater than for If g is 0, what is s? Well, s plus 0 has to be greater This- or the easiest way to graph this is to really thinkĪbout the intercepts. Plus g is going to be greater than or equal to 15. Obviously would be 0- 4, 8, 12, 16, 20, and so on. So this would be 4, 8, 12, 16,Ģ0, so on and so forth. To get to reasonably large numbers- let's make each of And just to make sure that weĬan fit on this page- because I have a feeling we're going Horizontal, that's going to be the number of games he buys.
Vertical axis and let's call that the song axis. That I'm drawing right here, let's make that the Where he buys a negative number of songs or games.
The number of songs and the number of games. Quadrant because we only care about positive values for We first have to define the axes, so let me do This is going to be the totalĪmount that he spends. Songs plus the cost per game, which is $1.99 times the Songs are going to be the number of songs he buys times Songs plus the amount that he spends on games has to be Going to be the number of songs plus the number
Now if we look at thisĬonstraint right here, he wants to buy at least 15
Range of possible purchases using a graph. That represents this scenario and identify the Each song costs $0.89 andĮach game costs $1.99. Worth $25 to an online retailer that sells digital
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