

Direct and inverse proportion
Presentation
•
Mathematics
•
7th Grade
•
Hard
Alberto Godoy
Used 93+ times
FREE Resource
4 Slides • 11 Questions
1
Direct and inverse proportion

2
Direct Proportion
If you divide any two related variables, and you always get the same result, then those variables are said to be in direct proportion. The result from the division, quotient, is the constant of proportionality.
3
Multiple Choice
If variables x and y are in direct proportion and k is a constant, then a valid equation for these variables is
y + x = k
y - x = k
xy = k
xy=k
4
Inverse proportion
If you multiply any two related variables, and you always get the same product, then those variables are said to be in inverse proportion. The result from the division, product, is the constant of proportionality..
5
Multiple Choice
If variables x and y are in inverse proportion and k is a constant, then a valid equation for these variables is
y + x = k
y - x = k
xy = k
xy=k
6
Multiple Choice
If variables x and y are in direct proportion, then a possible table for these variables is
7
Multiple Choice
If variables x and y are in inverse proportion, then a possible table for these variables is
8
Multiple Select
In a direct proportion if one variable increases, so does the other one. This table, though it satisfies this condition, does not represent a direct proportion. Why is that so?
It does not include (0,0)
The product of the variables is not constant
The quotient of the variables is not constant
Because I say so
9
Multiple Select
Which of the following situations may be modeled as a direct proportion? Select all that apply.
To prepare a loaf of banana bread a recipe says you need to put 1 tablespoon to the dough for each 2 bananas you use.
To drive from Santiago to Antofagasta you need to cover 1335 km in the Ruta 5. The average speed (v) at which you drive in this stretch and the time (t) you take to arrive at Antofagasta
The total cost C for Q units of a certain product at a fixed unit price
The unit price P and the total cost C of a fixed number of units of a certain product
10
Multiple Select
Which of the following situations may be modeled as an inverse proportion? Select all that apply.
To prepare a loaf of banana bread a recipe says you need to put 1 tablespoon to the dough for each 2 bananas you use.
To drive from Santiago to Antofagasta you need to cover 1335 km in the Ruta 5. The average speed (v) at which you drive in this stretch v the time (t) you take to arrive at Antofagasta.
The total cost C for Q units of a certain product at a fixed unit price
The unit price P and the total cost C of a fixed number of units of a certain product
11
Multiple Select
Which of the following situations may be modeled as a direct proportion? Select all that apply.
To prepare a loaf of banana bread a recipe says you need to put 1 tablespoon to the dough for each 2 bananas you use.
To drive from Santiago to Antofagasta you need to cover 1335 km in the Ruta 5. The average speed (v) at which you drive in this stretch and the time (t) you take to arrive at Antofagasta
The total cost C for Q units of a certain product at a fixed unit price
The unit price P and the total cost C of a fixed number of units of a certain product
12
Graph of a direct and inverse proportion
The graph for two variables in direct proportion is always is always a straight line starting and including the origin.
The graph for two variables in inverse proportion is always is always a curve approaching both axes.
13
Multiple Choice
If variables x and y are in direct proportion and k is a constant, then a possible graph for these variables is
14
Multiple Choice
To drive from Santiago to Antofagasta you need to cover 1335 km in the Ruta 5. If your average speed is 92 km/h you will take 14 hours an a half to arrive at Antofagasta. If we consider this situation as a proportionality, then the value of its constant of proportionality is
1335 km
92 km/h
14.5 hours
5
15
Multiple Choice
If variables x and y are in inverse proportion and k is a constant, then a possible graph for these variables is
Direct and inverse proportion

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