His college Jason can take a maximum of 21 hours each semester between elective classes and core classes each elective class cos
t $225 per semester hour and each core class costs $275 per semester hour. If he cannot spend more than $6,000 each semester on classes which system of any qualities below can be used is a Herman the number of elective classes e and the number of core classes c he can take each semester?
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<h2>Answer</h2>
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
<h2>Explanation</h2>A graph of y against x means that x is the independent variable and y is the dependent variable. Notice that the charge (y) depends on the number of minutes (x). Therefore, the points that we are going to join to make our graph will have coordinates (x, y)
We know that the company charges $120 for 100 minutes, so x=100 and y=120. Therefore, our first point will be (100, 120)
We also know that the company charges $95 for 50 minutes, so x=95 and y=50. Therefore, our second point will be (50, 95)
Now, to find the slope between our tow points, we are going to use the slope formula:
where
are the coordinates of the first point
are the coordinates of the second point
We know from our points that ,
,
, and
. So let's replace those values in our formula to find
Now that we have our slope, we can use the point-slope formula to complete the equation of the line joining our two points