Carley and Maxwell are working on their laptops. Carley’s laptop begins with 50% battery and loses a charge at 1.5% per minute. The percent y, in decimal form, of battery power remaining after x minutes for Maxwell’s laptop can be represented by y = -0.02x + 0.75.
Which statement is true?
A. Carley’s laptop loses charge at a slower rate than Maxwell’s laptop and had less battery to begin with than Maxwell’s laptop.
B. Carley’s laptop loses charge at a slower rate than Maxwell’s laptop and had more battery to begin with than Maxwell’s laptop.
C. Carley’s laptop loses charge at a faster rate than Maxwell’s laptop and had less battery to begin with than Maxwell’s laptop.
D. Carley’s laptop loses charge at a faster rate than Maxwell’s laptop and had more battery to begin with than Maxwell’s laptop.
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To determine which statement is true, we need to compare the rate at which Carley's laptop loses charge to the rate at which Maxwell's laptop loses charge, as well as the initial battery levels of both laptops.
From the given information, we know that Carley's laptop loses charge at a rate of 1.5% per minute. This means that after x minutes, the percent of battery power remaining can be represented by y = 1 - 0.015x.
On the other hand, Maxwell's laptop loses charge at a rate of -0.02 per minute. This means that after x minutes, the percent of battery power remaining can be represented by y = -0.02x + 0.75.
Comparing the rates of charge loss, we can see that Carley's laptop loses charge at a slower rate (-0.015x) than Maxwell's laptop (-0.02x). Therefore, statement A and B are the only possible options.
Now, let's compare the initial battery levels of both laptops. From the given information, we know that Carley's laptop begins with 50% battery power. On the other hand, Maxwell's laptop does not mention its initial battery level.
Since we do not have enough information about the initial battery level of Maxwell's laptop, we cannot determine whether Carley's laptop had more or less battery power to begin with. Therefore, statement B is the only true statement.
Therefore, the correct answer is:
B. Carley’s laptop loses charge at a slower rate than Maxwell’s laptop and had more battery to begin with than Maxwell’s laptop.