compare linear function 1 with linear function 2 which one has lesser intial value?

linear function 1 : lionels cell phone plan cost $45 per month.
linear function 2 the relationship between the number of months ruby has had her cell phone (x) and the total cost (y) is given by y=40x+60

5 answers

Linear function 2 has a lesser initial value. The initial value of linear function 1 is $45 per month, while the initial value of linear function 2 is $60.
a function has an initial value of -1 and a slope equal to 3 choose the sketch oft he grpah that exhibits the qualitative features of the function.
This function can be represented by the equation y = 3x - 1.
The graph of this function will have a slope of 3 and an initial value of -1. It will be a straight line passing through the point (0, -1) with a steep positive slope of 3.

The graph will rise as x increases, showing that y increases at a rate of 3 units for every 1 unit increase in x. It will also intersect the y-axis at the point y = -1, indicating the initial value of the function. The graph will have a steep positive trend that increases as x increases.

Therefore, the sketch of the graph that exhibits the qualitative features of the function would be a straight line with a steep positive slope passing through the point (0, -1).
Armin is rereading his favorite book he starts the day on page 15 looking at the clock he realized that he can read 2 pages every minute choose the sketch of the graph that shows the relationship between the number of minutes will has been reading today and the page number he is on
Since Armin starts at page 15 and reads 2 pages every minute, we can represent this relationship using a linear function.

Let x be the number of minutes Armin has been reading, and y be the page number he is on.

The equation of the linear function in this case would be y = 2x + 15, where 15 is the initial value representing the page Armin starts on, and the slope of 2 indicates that he reads 2 pages every minute.

The graph of this linear function will start at the point (0, 15) and will have a positive slope of 2, indicating that the page number increases by 2 for every minute read. The graph will be a straight line slanting upwards and to the right.

Therefore, the sketch of the graph that shows the relationship between the number of minutes Armin has been reading today and the page number he is on would be a straight line with a positive slope passing through the point (0, 15).
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