Mathematics
Grade6
Easy
Question
Find the the rate of change (unit rate) for the following graph.
- 80
- 20
- 40
- 160
Hint:
Rate of change (Unit rate) in terms of a line represented on a graph refers to the change in y-coordinates for a unit change in x-coordinates.
i.e. If the x-coordinates change by 1 unit, how much does the y-coordinate change?
Unit rate = y2-y1/ x2-x1
The correct answer is: 40
TO FIND-
Rate of change (Unit rate) for the given graph.
SOLUTION-
From the given graph, we observe that-
Given line passes through the points (2,80) and (4,160).
∴ x1 = 2, y1 = 80, x2 = 4, y2 = 160
We calculate the rate of change as-
y2-y1/ x2-x1 = 160-80/ 4-2
∴ y2-y1/ x2-x1 = 80/2
∴ y2-y1/ x2-x1 = 40 .......................................... (Dividing numerator & denominator by 2)
FINAL ANSWER-
Option 'c' i.e. '40' is the correct answer to the given question.
Related Questions to study
Mathematics
Choose the best explanation for the following graph.
Choose the best explanation for the following graph.
MathematicsGrade6
Mathematics
You are visiting Houston, Texas and a taxi cab company charges a flat rate of $4.00 for using the cab and $0.95 per mile. Write an equation to determine the cost when x miles is driven.
You are visiting Houston, Texas and a taxi cab company charges a flat rate of $4.00 for using the cab and $0.95 per mile. Write an equation to determine the cost when x miles is driven.
MathematicsGrade6
Mathematics
Find the 2 missing OUTPUT values.
Find the 2 missing OUTPUT values.
MathematicsGrade6
Mathematics
Find the algebraic equation that shows the relationship between the independent and dependent variables.
Find the algebraic equation that shows the relationship between the independent and dependent variables.
MathematicsGrade6
Mathematics
On a graph, ____________ axis shows the INDEPENDENT variable.
On a graph, ____________ axis shows the INDEPENDENT variable.
MathematicsGrade6
Mathematics
Write the equation.
Write the equation.
MathematicsGrade6
Mathematics
Identify the DEPENDENT variable.
Identify the DEPENDENT variable.
MathematicsGrade6
Mathematics
Match the equation that represents the relationship.
Match the equation that represents the relationship.
MathematicsGrade6
Mathematics
Identify the INDEPENDENT variable.
Identify the INDEPENDENT variable.
MathematicsGrade6
Mathematics
Complete the table and chose the graph of the equation.
Complete the table and chose the graph of the equation.
MathematicsGrade6
Mathematics
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
MathematicsGrade6
Mathematics
Describe the following pattern's rule.
16, 11, 6, 1
Describe the following pattern's rule.
16, 11, 6, 1
MathematicsGrade6
Mathematics
The equation that matches the table is,
The equation that matches the table is,
MathematicsGrade6
Mathematics
Complete the table and chose the graph of the equation.
Complete the table and chose the graph of the equation.
MathematicsGrade6
Mathematics
Lara completed 105 sit-ups in 3 minutes. She can 420 sit-ups at the same rate in ____________ minutes.
We can find the time required to 420 sit ups by multiplying the time required to 105 sit ups by 4.
Lara completed 105 sit-ups in 3 minutes. She can 420 sit-ups at the same rate in ____________ minutes.
MathematicsGrade6
We can find the time required to 420 sit ups by multiplying the time required to 105 sit ups by 4.
