Question

distance (blocks from home)
time elapsed (minutes)
which of the following statements is true of skylar at time x = 1?
answer
shes driving away from her house
at a rate of 2 blocks every 1
minute
shes driving towards her house at
a rate of 2 blocks every 1 minute
shes driving towards her house at
a rate of 1 block every 2 minutes
shes driving away from her house
at a rate of 1 block every 2
minutes

Explanation:

Step1: Analyze the graph at \( x = 1 \)

The graph shows distance from home (y - axis) vs. time (x - axis). At \( x = 0 \), distance is 0 (at home). From \( x = 0 \) to \( x = 4 \), the graph is a line with positive slope, meaning distance from home is increasing (driving away).

Step2: Calculate the rate

The slope (rate) from \( x = 0 \) to \( x = 4 \): At \( x = 0 \), \( y = 0 \); at \( x = 4 \), \( y = 8 \). Slope \(=\frac{\Delta y}{\Delta x}=\frac{8 - 0}{4 - 0}=2\) blocks per minute. So at \( x = 1 \), she is on this segment, driving away at 2 blocks per minute.

Answer:

She's driving away from her house at a rate of 2 blocks every 1 minute