Question

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.

Answer 1

Carley’s laptop loses charge at a slower rate than Maxwell’s laptop and had less battery to begin with than Maxwell’s laptop.

Step-by-step explanation:

The equation representing the battery power remaining after x minutes for Maxwell's laptop is y = -0.02x + 0.75.

Carley's laptop loses charge at a rate of 1.5% per minute, which is slower than Maxwell's laptop. However, Carley's laptop starts with 50% battery, which is less than Maxwell's laptop. Therefore, the correct statement is: Carley’s laptop loses charge at a slower rate than Maxwell’s laptop and had less battery to begin with than Maxwell’s laptop (option a).

Answer 2

Comparing the charge loss rates and initial battery charges of Carley and Maxwell's laptops, it's clear that Carley's laptop loses charge at a faster rate and had a higher initial charge, making option d the correct statement.

Step-by-step explanation:

To determine which statement is true, we need to compare the rates at which Carley and Maxwell's laptops are losing their charge and the initial battery levels of each laptop. Carley's laptop starts with a 50% battery charge and loses a charge at a rate of 1.5% per minute. Looking at the equation provided for Maxwell's laptop, y = -0.02x + 0.75, the rate of charge loss is represented by the coefficient of x, which is -0.02 or 2% per minute. This means Maxwell's laptop loses charge at a rate of 2% per minute.

The intercept 0.75 in Maxwell's equation represents the initial battery power in decimal form, which corresponds to 75%. Comparing this to Carley's initial battery charge of 50%, it's evident that Maxwell's laptop had more battery to begin with.

Therefore, 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.