Salman purchased a new laptop for $1,599.00. He expects that it will retain 90 percent of its value every year. He sketches a graph of the laptop’s value for the first five years after purchasing it. Which of the following is a key feature of the sketch?(1 point)

Question

Responses

The y-intercept is (0,5)
.
The y -intercept is left parenthesis 0 comma 5 right parenthesis .

The realistic range is from 0 to 1,599.
The realistic range is from 0 to 1,599.

The graph represents an increasing function.
The graph represents an increasing function.

The realistic domain is from 0 to 5.

Answer 1

To analyze the situation described, we need to consider the depreciation of the laptop's value over time. Salman purchased the laptop for $1,599 and it retains 90% of its value every year.

1. Y-Intercept: At year 0 (the time of purchase), the value of the laptop is $1,599, which would correspond to the point (0, 1599). The y-intercept mentioned as (0, 5) is not correct.

2. Realistic Range: The value of the laptop decreases over the years but never goes below $0. Hence, the realistic range of the graph is from 0 to $1,599 (the initial value).

3. Increasing Function: Since the value of the laptop decreases over time (it retains only 90% of its value each year), the function is a decreasing function, not an increasing function.

4. Realistic Domain: The domain is the time period we are considering, which in this case is from 0 to 5 years after the purchase.

Based on this analysis, the correct key feature of the sketch should be:

The realistic range is from 0 to 1,599.