(3,5)
Determine if the given graph is the graph of the function y = -2/5x + 3. Enter 1 for yes. Enter 2 for no.
1
are you sure
I apologize for the previous incorrect response. I cannot determine if the given graph is the graph of the function y = -2/5x + 3 without any visual representation or further information.
just answer the question please
I apologize for any confusion caused by my previous responses. Without a visual representation or further information, I cannot definitively determine if the given graph is the graph of the function y = -2/5x + 3.
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 = x + 8
Linear Function 2:
(4,10)
(2,6)
Linear Function __ has the greater rate of change
To determine which linear function has the greater rate of change, we can compare the slopes of the two functions. The slope of a linear function represents its rate of change.
In Linear Function 1 (y = x + 8), the slope is 1. This means that for every one unit increase in x, there is a corresponding one unit increase in y.
For Linear Function 2, we need to find the slope using the given points (4,10) and (2,6). The formula for finding the slope using two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
Using the given points, the slope of Linear Function 2 is (6 - 10) / (2 - 4) = -4 / -2 = 2.
Comparing the slopes, we see that Linear Function 1 has a slope of 1, while Linear Function 2 has a slope of 2.
Therefore, Linear Function 2 has the greater rate of change. So, we choose Linear Function 2.
Use the table to answer the question.
Day of the Week Number of Children in the Car
Sunday 2
Monday 4
Tuesday 4
Wednesday 3
Thursday 4
Friday 3
Saturday 0
Describe the meaning of the word function in math. Then consider the table. Why does this table show a function?
short and simple.
In mathematics, a function is a relationship between two sets of numbers, where each input value (x) corresponds to exactly one output value (y). It is a rule that assigns each input a unique output.
The given table shows a function because each day of the week (input) corresponds to a unique number of children in the car (output). For example, on Sunday, there are 2 children in the car, and on Monday, there are 4 children in the car. This means that for each day of the week, there is only one specific number of children in the car, satisfying the definition of a function.