Since Christian sets aside $60 per month for daily coffee, and McDonalds sells coffee for $ 1, and The Bean Sprout sells a cup of coffee for $3, to create an equation that represents the combinations of coffee options that allow Christian to stay in his budget and provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following linear equation must be proposed:
M + BS = 60
2 combinations using the entire budget =
- 15 McDonalds + 15 The Bean Sprout = 15 + 45 = 60
- 30 McDonalds + 10 The Bean Sprout = 30 + 30 = 60
1 combination under budget =
- 15 McDonalds + 10 The Bean Sprout = 15 + 30 = 45
1 combination over budget =
- 30 McDonalds + 30 The Bean Sprout = 30 + 90 = 120
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The equasion she would use would be 60,000 = 1000x + 40,000
this would means 1,000 times a number plus the 40,000 shes already getting equals 60,000
Let's solve step by step
So all we need to do is simplify the equation
<span><span>(<span>5x − 8</span>)</span><span>(<span>2x + 4</span>)
</span></span><span>= <span><span>(<span>5x + −8</span>)</span><span>(<span>2x + 4</span>)
</span></span></span><span>= <span><span><span><span><span>(5x)</span><span>(2x) </span></span>+ <span><span>(5x)</span>(4) </span></span>+ <span><span>(−8)</span><span>(2x) </span></span></span>+ <span><span>(−8)</span><span>(4)
</span></span></span></span><span>= <span><span><span><span>10x^2 </span>+ 20x </span>− 16x </span>− 32
</span></span><span>= <span><span><span>10x^2 </span>+ 4x </span>− <span>32
Therefore the simplified form of this is </span></span></span>10x^2 + 4x − 32
Hope this helps! - Alyssa
(Please mark as Brianliest Answer, Thanks)
