Unit 2 Lesson 16 & 17 Practice Problems

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Mathematics

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7th Grade

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Kylie Dunn

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13 Slides • 24 Questions

Unit 2 Lesson 16 & 17 Practice Problems

Interpreting Graphs of Proportional

Relationships & Using Graphs to Compare Relationships

This is really lesson 11 and 12 in the wkbk

Lesson 16 Practice Problems

These problems can be found in your math workbook on pages 162-163.

Make sure to take notes there!

Poll

Do you use a tv streaming service like Netflix, Hulu, YouTube TV, etc.?

Yes

Let's start with problem #1 on pg. 162

Make sure to have your workbook and a pen/pencil out to follow along.

Multiple Choice

What is the constant of proportionality in this relationship? Remember: the cost for 6 moths is $47.94 --> point on graph (6,47.94)

5.99

6.99

7.99

8.99

Open Ended

What does constant of proportionality TELL you about the situation??

Type response here

Open Ended

What would be 2 more points on this graph?

Make sure to write them as an ordered pair like this:

(x, y) or (2, 6)

Type response here

Multiple Choice

Which equation would represent the relationship between $C$ , the total cost of the subscription, and $m$ the number of months.

$m\ =7.99C$

$C=7.99m$

$m=6C$

$C=6m$

The graph shows the amounts of almonds, in grams, for different amounts of oats, in cups, in a granola mix.

Label the point (1,k) on the graph, find the value of k , and explain its meaning.

Multiple Choice

If you know you use 2 cups of oats per every 50 grams of almonds, how many grams of almonds would you need for 1 cup of oats?

Multiple Choice

So if you are looking for the point (1 , k) that means X= 1. What is the value of K?

To make a friendship bracelet, some long strings are lined up then taking one string and tying it in a knot with each of the other strings to create a row of knots.
A new string is chosen and knotted with the all the other strings to create a second row.
This process is repeated until there are enough rows to make a bracelet to fit around your friend's wrist.

The bracelets look like this.

Open Ended

Are the number of knots proportional to the number of rows? Explain your reasoning.

Type response here

Multiple Select

What information do you need to have to write an equation relation two quantities (numbers) that have a proportional relationship?

C.o.P (Constant of Proportionailty)

Variables (letters)

addition/subtraction

Equal sign

Lesson 17 Practice Problems

These problems can be found in your math workbook on pages 162-163.

Make sure to take notes there!

The graphs on the next slide will show some data from a coffee shop menu.
One of the graphs shows cost (in dollars) vs. drink volume (in ounces),
and one of the graphs shows calories vs. drink volume (in
ounces).
You have to figure out which is which!

Take a look at each graph. Think: which would be cost and which would be calories?

Multiple Choice

Let's look at the 1st graph- Which title would be correct?

Cost vs. Volume

Calories vs. Volume

Multiple Choice

Let's look at the 2nd graph- Which title would be correct?

Cost vs. Volume

Calories vs. Volume

Multiple Select

Which quantities appear to be in a proportional relationship?

Open Ended

How did you know the graph was proportional?

Type response here

Multiple Choice

For the proportional relationship, find the constant of proportionality.

Open Ended

What does that number mean? What does the C.o.P mean in this situation?

Type response here

Lin and Andre biked home from school at a steady pace.
Lin biked 1.5 km and it took her 5 minutes.
Andre biked 2 km and it took him 8 minutes.
Hint: write the paces down to solve the next problems

Multiple Choice

Lin biked 1.5 km and it took her 5 minutes.

What was Lin's speed?

What is k? (1, k)

0.5 km per 1 min

0.3 km per 1 min

0.25 km per 1 min

0.4 km per 1 min

Multiple Choice

Andre biked 2 km and it took him 8 minutes.

What was Andre's speed?

What is k? (1, k)

0.5 km per 1 min

0.3 km per 1 min

0.25 km per 1 min

0.4 km per 1 min

Multiple Choice

Who was biking faster?

Lin

Andre

Match each equation to it graph
Hint: use workbook to take notes to figure this problem out.

Multiple Choice

Which equation matching graph #1?

$y=2x$

$y=\frac{4}{5}x$

$y=\frac{1}{4}x$

$y=\frac{2}{3}x$

$y=\frac{4}{3}x$

Multiple Choice

Which equation matching graph #2?

$y=2x$

$y=\frac{4}{5}x$

$y=\frac{1}{4}x$

$y=\frac{2}{3}x$

$y=\frac{4}{3}x$

Multiple Choice

Which equation matching graph #3?

$y=\frac{3}{2}x$

$y=\frac{4}{5}x$

$y=\frac{1}{4}x$

$y=\frac{2}{3}x$

$y=\frac{4}{3}x$

Multiple Choice

Which equation matching graph #4?

$y=\frac{3}{2}x$

$y=\frac{4}{5}x$

$y=\frac{1}{4}x$

$y=\frac{2}{3}x$

$y=\frac{4}{3}x$

Multiple Choice

Which equation matching graph #5?

$y=\frac{3}{2}x$

$y=\frac{4}{5}x$

$y=\frac{1}{4}x$

$y=\frac{2}{3}x$

$y=2x$

Multiple Choice

Which equation matching graph #6?

$y=\frac{3}{2}x$

$y=\frac{4}{5}x$

$y=\frac{1}{4}x$

$y=\frac{2}{3}x$

$y=2x$

All DONE!! Nice work!

You can double check your answers up on Canvas on the announcement for today.

Make sure to keep track of any questions you have!

Unit 2 Lesson 16 & 17 Practice Problems

Interpreting Graphs of Proportional

Relationships & Using Graphs to Compare Relationships

This is really lesson 11 and 12 in the wkbk

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