To compare the rate of change of Linear Function 1 and Linear Function 2, we can calculate the slope of both functions.
For Linear Function 1:
y = x + 8
The slope of this function is 1, as the coefficient of x is 1.
For Linear Function 2:
We can calculate the slope using the two points given:
m = (y2 - y1) / (x2 - x1)
m = (10 - 6) / (4 - 2)
m = 4 / 2
m = 2
Comparing the slopes, we can see that Linear Function 2 has a greater rate of change, as its slope is 2 compared to the slope of Linear Function 1, which is 1.
Therefore, choose 2 for Linear Function 2 as it has the greater rate of change.
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1;
choose 2 for Linear Function 2.
• Linear Function 1: y = × + 8
• Linear Function 2: Points (2,6) and (4,10)
5 answers
Day of the Week: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday
Number of Children in the Car: 2, 4, 4, 3, 4, 3, 0
Describe the meaning of the word function in math. Then consider the table. Why does this table show a function?
Number of Children in the Car: 2, 4, 4, 3, 4, 3, 0
Describe the meaning of the word function in math. Then consider the table. Why does this table show a function?
In mathematics, a function is a rule or relationship that pairs each element in a set (the domain) with exactly one element in another set (the range). The function assigns a unique output value to each input value. It is like a machine transforming an input into an output.
Looking at the table provided, where the days of the week are paired with the number of children in the car, this table represents a function because each day is mapped to exactly one value for the number of children in the car. For example, Sunday is paired with 2, Monday with 4, and so on. There are no repeated inputs with different outputs in this table, which adheres to the definition of a function. Each input (day of the week) corresponds to exactly one output (number of children in the car), making this table a function.
Looking at the table provided, where the days of the week are paired with the number of children in the car, this table represents a function because each day is mapped to exactly one value for the number of children in the car. For example, Sunday is paired with 2, Monday with 4, and so on. There are no repeated inputs with different outputs in this table, which adheres to the definition of a function. Each input (day of the week) corresponds to exactly one output (number of children in the car), making this table a function.
Day of the Week: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday
Number of Children in the Car: 2, 4, 4, 3, 4, 3, 0
For a fifth grader, describe the meaning of the word function in math. Then consider the table. Why does this table show a function?
Number of Children in the Car: 2, 4, 4, 3, 4, 3, 0
For a fifth grader, describe the meaning of the word function in math. Then consider the table. Why does this table show a function?
For a fifth grader: In math, a function is like a magic machine that takes one thing (the input) and turns it into another thing (the output). Imagine you have a special box that changes a number you put in, and out comes a different number. A function works in a similar way, pairing each input with a specific output.
Looking at the table provided with the days of the week paired with the number of children in the car, this table shows a function because each day of the week is matched with a single number for the number of children in the car. For example, Sunday is paired with 2, Monday with 4, and so on. No day of the week is repeated with a different number of children in the car in this table. This means that each day (input) has a unique number of children in the car (output), just like how a function should work. So, this table represents a function.
Looking at the table provided with the days of the week paired with the number of children in the car, this table shows a function because each day of the week is matched with a single number for the number of children in the car. For example, Sunday is paired with 2, Monday with 4, and so on. No day of the week is repeated with a different number of children in the car in this table. This means that each day (input) has a unique number of children in the car (output), just like how a function should work. So, this table represents a function.
1 answer