Name:___________________________________
Ms. Sam
Date:_____________
Group:_______
Proportional Relationships and Lines Unit Exam Part 2
Instructions: Be sure to read carefully all the directions in the exam. Read each
question carefully and think about the answer before choosing your response.
You may use a calculator.
Learning Target #1: I can calculate the unit rate/slope of a graph.
1. The sign shows the price of tomatoes for three different weights at a farmer’s market.
Part A
Find the rate of change of the line using (number of pounds,
price) as points. (2)
Tomato Prices 2 pounds for $5 4 pounds for $10 6 pounds for $15 Answer__________________
Part B
Find the cost of one pound of tomatoes. What is the unit rate? (1)
Answer $_________________ per pound
Part C
How is the unit rate related to the change? (2)
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1 Learning Target #2: I can use similar triangles to explain why the slope is the same between
any two distinct points on a non-vertical line in the coordinate plane.
2. In the coordinate plane below, ∆𝐴𝐵𝐶 is similar to ∆𝐴𝐸𝐹.
Part A
What is the slope of 𝐴𝐶? (2)
Show your work.
Answer_______________
Part B
What is the value of 𝑥? (3)
Show your work.
Answer_______________________
2 Learning Target #3: I can derive the equation 𝑦 = 𝑚𝑥 for a line through the origin and the
equation 𝑦 = 𝑚𝑥 + 𝑏 for a line intercepting the vertical axis at 𝑏.
3. Write an equation for the line shown in the graph below. (3)
4 3 2 1 0 -­‐3 -­‐2 -­‐1 -­‐1 0 1 2 -­‐2 -­‐3 -­‐4 Show your work.
Answer____________________________
3 Learning Target #4: I can graph proportional relationships.
4. The height of a burning candle depends on how long the candle has been burning. For one
type of candle, the linear equation ℎ = 8 − 𝑡 gives the candle’s height ℎ (in centimeters) in
relation to the time 𝑡 the candle has burned (in hours).
Part A
Make a table and graph the linear equation. (2)
Be sure to:
• Title your graph (1)
• Label the axes (2)
• Graph all the data (2)
Time
(hours)
Height
(centimeters)
What was the original height of the candle? (1)
Answer_____________________ centimeters
What is the greatest amount of time the candle can burn? (1)
Answer_____________________ hours
4 Learning Target #5 I can compare two different proportional relationships represented in
different ways.
!!
5. Total rainfall for an April shower is given by the equation 𝑦 = ! 𝑥, where 𝑥 represents hours
and 𝑦 represents inches. Total rainfall for a May shower is given in the table below.
May Rainfall
Time (hours)
3
6
9
12
1
1
Total Rainfall
3
6
1
4
(inches)
2
2
In which shower did the rain fall more quickly? Explain. (2)
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