The class guessed how many objects were placed in a mason jar. The graph displays the class results, with an actual number of 47.

20 data points on coordinate grid, origin O. Horizontal axis, guess, from 0 to 72 by 8’s. Vertical axis, absolute guessing error, from 0 to 24 by 4’s. Data points as follows: 27 comma 20, 28 comma 19, 30 comma 17, 35 comma 12, 36 comma 11, 37 comma 10, 38 comma 9, 40 comma 7, 41 comma 6, 44 comma 3, 46 comma 1, 50 comma 3, 53 comma 6, 55 comma 8, 57 comma 10, 58 comma 1, 59 comma 12, 60 comma 13, 62 comma 15 and 65 comma 18.

Suppose a mistake was made, and the actual number is 45.

Explain how the graph would change, given the new actual number.

Function \(D\) gives the height of a drone \(t\) seconds after it lifts off.

Sketch a possible graph for this function given that:

• \(D(3)=4\)
• \(D(10)=0\)
• \(D(5)>D(3)\)
   

The population of a city grew from 23,000 in 2010 to 25,000 in 2015. 

1. What was the average rate of change during this time interval? 
2. What does the average rate of change tell us about the population growth?

Here are the graphs of \(L(x)\) and \(R(x)\). 

Piecce wise function. closed circle at 0 comma 1, horizontally to a open circle at 2 comma 1. closed circle at 2 comma 7, horizontally to a open circle at 6 comma 7. closed circle at 6 comma 3, horizontally to a open circle at 10 comma 3.  

Piecce wise function. open circle at 0 comma 1, horizontally to a closed circle at 2 comma 1. open circle at 2 comma 7, horizontally to a closed circle at 6 comma 7. open circle at 6 comma 3, horizontally to a closed circle at 10 comma 3. 

1. What are the values of \(L(0)\) and \(R(0)\)?
2. What are the values of \(L(2)\) and \(R(2)\)?
3. For what \(x\)-values is \(L(x)=7\)?
4. For what \(x\)-values is \(R(x)=7\)?

Select all systems that are equivalent to this system of equations: \(\begin {cases} \begin{align} 4x+5y&=1\\x- \hspace{2mm}y&=\frac38 \end{align} \end{cases}\)