Question

Amber earns $150 a week plus $10 for each tree she sells. The equation y = 25x + 75 represents the amount Jorge earns each week in dollars

for selling 2 trees. Which statement is true?
If Amber and Jorge each sell 5 trees in one week, they will earn the same amount.
If Amber and Jorge each sell 10 trees in one week, Amber will earn $75 more than Jorge.
o Jorge always earns more money each week than Amber, regardless of how many trees he sells.
• Amber always earns more money each week than Jorge, regardless of how many trees she sells.
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Answer 1

Amber and Jorge will earn the same amount if they each sell 5 trees, but if they sell 10 trees, Jorge will earn $75 more than Amber. It is not correct to say that Amber always earns more, or that Jorge always earns more, as it depends on the number of trees sold.

Step-by-step explanation:

Let's analyze the earnings of Amber and Jorge. Amber's earnings can be represented by the equation y = 150 + 10x, where y is the total weekly earnings in dollars and x is the number of trees sold. Jorge's earnings follow the equation given in the question, y = 25x + 75.

If Amber and Jorge both sell 5 trees, their earnings would be:

• Amber: 150 + 10(5) = 150 + 50 = 200 dollars
• Jorge: 25(5) + 75 = 125 + 75 = 200 dollars

Therefore, if Amber and Jorge each sell 5 trees, they will indeed earn the same amount.

Now, if they sell 10 trees each, their earnings would be:

• Amber: 150 + 10(10) = 150 + 100 = 250 dollars
• Jorge: 25(10) + 75 = 250 + 75 = 325 dollars

Thus, if Amber and Jorge each sell 10 trees in one week, Jorge will actually earn $75 more than Amber, not the other way around. Therefore, the statement that Amber will earn $75 more than Jorge is incorrect.

Finally, comparing their earning equations, since Amber’s base weekly earnings ($150) are higher than Jorge's ($75), and her commission per tree ($10) is less than Jorge's ($25), it cannot be determined who always earns more without knowing the number of trees sold; hence the statement that Jorge always earns more is incorrect, and so is the statement that Amber always earns more.