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?
Responses
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. 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. 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. 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.
The correct statement is:
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.
The correct answer is:
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.
To determine which statement is true, we need to compare the rate at which Carley's laptop loses charge and the rate at which Maxwell's laptop loses charge, as well as the initial battery levels for both laptops.
For Carley's laptop, we know that it loses a charge at a rate of 1.5% per minute. This means that after x minutes, the remaining battery percentage can be represented by y = 50 - 1.5x.
For Maxwell's laptop, the battery remaining after x minutes 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 faster rate since the coefficient of x in the equation is larger (-1.5) compared to Maxwell's laptop (-0.02).
Comparing the initial battery levels, Carley's laptop starts with 50% battery, while the equation for Maxwell's laptop does not provide specific information about the initial battery level.
Therefore, the correct statement is:
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.