To graph a situation that would involve a linear graph, first determine your x and y axes.
The x-axis will be the independent variable, one that does not change based on other variables. An example is time.
The y-axis, the dependent variable, depends on the independent variable.
The model equation for a linear line is y = mx + b.
"m" is the slope, and the "b" is the y-intercept (where the graph crosses the x-axis at x=0).
For example, a situtation could be that Joe starts with $10 in his account and adds $5 every day to his account.
The x-axis is time in days.
The y-axis is amount of money in his account.
The slope, or rate of change is 5.
The y-intercept, the amount of money he has at x=0 (0 days) is $10.
The equation would be y = 5x + 10
To draw this, plot the y-intercept at (0, 10), and the next point would be 5 units up and one unit to the right because the slope is 5, or 5/1 (remember slope is rise over run: "rise" up 5 and "over" to the right 1).
Answer:
2(2x + 1)(3x - 5)
Step-by-step explanation:
Step-by-step explanation:
FORMATION OF TABLE FOR THE FUNCTION
As t represents the temperature in degrees Fahrenheit and c represents the number of cricket chirps per minute.
Considering the function
when
then
when
then
when
then
when
then
when
then
when
then
when
then
So
Lets form the data table for this function based on the determined values
PART 1)
Considering the function
As we know that
when
then
- Meaning the number of chirps per minute would increase to , when the temperature t in degrees Fahrenheit increase to 60.
The appropriate logic is that the speed at which cricket chirps is based on the temperature. The table table also indicates that as the temperature t increases, the number of cricket chirps also increases.
PART 2)
- A rate of change is a rate that determines how one quantity changes in relation to another quantity.
Considering the two points
It logically means for every increase of units in (temperature in degrees Fahrenheit), the value of (number of chirps) is increasing to units.
Thus, the rate of change will be .
Part 3)
Considering the function
The data table for this function
Putting in the function brings the value of as .
i.e.
Yes, it does make sense.
Its logical meaning is that at the start, when the value of was temperature in degrees Fahrenheit, then the value of (number of chirps per minute) was .
Answer:
Step-by-step explanation: