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Grade 8 | Unit 3 | Lesson 6: More Linear Relationships | Practice Problems

Total questions: 7

Worksheet time: 16mins

Name
Class
Date
1.

A graph represents the perimeter, y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0. Explain what the slope and intercept mean in this situation.

4 lines
2.

The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is 14\frac{1}{4} and the y-intercept is 8. Explain what the slope and intercept mean in this situation.

4 lines
3.

The number of chapters read, y, after x days. The slope of the line is 54\frac{5}{4} and the y-intercept is 2. Explain what the slope and intercept mean in this situation.

4 lines
4.

The graph shows the cost in dollars, y, of a muffin delivery and the number of muffins, x, ordered. The slope of the line is 2 and the y-intercept is 3. Explain what the slope and intercept mean in this situation.

4 lines
5.

Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation. What does the slope of the line shown by the points mean in this situation?

a)

$20

b)

Membership fee

c)

Number of classes

6.

What does the vertical intercept mean in this situation?

a)

$60

b)

Number of classes

c)

Cost per class

7.

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Lin’s favorite brownie recipe.

cups of sugarcups of flour
\(\frac{3}{2}\)1
32
\(4\frac{1}{2}\)3
Noah and Lin buy a 12-cup bag of sugar and divide it evenly to make their recipes. If they each use all their sugar, how much flour do they each need? Noah and Lin buy a 10-cup bag of flour and divide it evenly to make their recipes. If they each use all their flour, how much sugar do they each need?

4 lines