Question

Danielle walked from her house to several locations in her town. The graph represents her distance from home after x hours.

Answer 1

Answer:

a. How far from home was Danielle after 1/2 hour?

According to the graph, after half hour, Danielle was 1 mile far from home.

b. What was Danielle's speed between 0 and 1 hour?

To find the speed we have to apply the formula:

$s=\frac{\Delta d}{\Delta t}$

From $t=0$ and $t=1$, Danielle went from $d=0$ to  $d=2$. Replacing this values, we calculate the speed:

$s=\frac{\Delta d}{\Delta t}\\s=\frac{2-0}{1-0}=2$

Therefore, the speed between 0 and 1 hour is 2 miles per hour.

c. What was Danielle's speed between 1 and 2 hours?

The Danielle's speed between 1 and 2 hours is zero ($s=0$). Because, according to the graph, during this time, Danielle didn't move, and without move, there's no speed.

d. What is the domain when the function is increasing?

The domain when the function is increasing refers to the increasing x intervals.

From the graph, this increasing interval is from 0 to 1 hours only, it's the only period of time when Danielle was increasing her position.

e. What is the domain when the function is decreasing?

The parts of the decreasing domain are:

• From 2 to 3 hours.
• From 3 and a half to 4 hours.

In the graph, you can see these decreasing intervals, which are characterized by a downwards direction of the line.

f. What is the domain when the function is constant?

The parts where the function is constant:

• From 1 to 2 hours.
• From 3 to 3 and a half hours.

Constant intervals, means no increase, no decrease, just an horizontal line.

Answer 2

Answer:

The answer for A. Would be 1 mile B. 2mph C. 4mph and the rest Im still working on

Step-by-step explanation: