Find the value of x and y that maximize x + 2y
1 answer:
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<em>Missing Options:</em>
<em>A. Erica's graph is incorrect, because the slope should be greater than 9.5. </em>
<em>B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5. </em>
<em>C. Erica's graph is correct, because the slope should be less than 9.5. </em>
<em>D. Erica's graph is correct, because the y–intercept should be less than 9.5.</em>
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Answer:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
Step-by-step explanation:
Given
Clive:
Erica:
--- slope
--- y intercept
First, we need to determine the equation of Erica's earnings using
Where
m = slope = 9
b = y intercept = 0
So, the equation becomes
This implies that Erica earns 9 dollars per hour
For Clive:
This means that Clive earns 9.5 dollars per hour
From the question, we understand that Erica earns more than Clive.
<em>So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.</em>
<em>When the slope is greater than 9.5, then she earns more than Clive.</em>