Problem B
<u>Equation</u>
Total = 3.50 + Number of movies watched * 0.45
<u>Givens</u>
Total = 17 movies.
<u>Substitute and Solve.</u>
Total = 3.50 + 17*0.45
Total = 3.50 + 7.65
Total = 11.15 Answer <<<<<
Conclusion: Stick with Netflix.
Problem A
<u>Givens</u>
Total = 7.10
Cost per movie = 0.45
Base Cost 3.50 for no movies.
<u>Equation</u>
Let the number of movies you can watch = n
Total = Base Cost + n*0.45
<u>Substitute and solve</u>
7.10 = 3.50 + n * 0.45 Subtract 3.50 from both sides.
7.10 - 3.50 = n*0.45
3.60 = n* 0.45 Divide by 0.45
3.60/0.45 = n
8 = n <<<< Answer
You can watch 8 movies.
Edit
Multiply both sides by 3.60
You are done. It's like solving something like
3x + 4 = 13 You would subtract 4 first and then divide by 3
<span>The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)^x and f(5) = 972.
The 5 that is found inside the function has a significant meaning.
It represents the population of a species of rabbit every year. It substitutes the variable x.</span>
To find the x-intercept, you need to see where the line intersects the x-axis, the horizontal line with numbers on it. The line intersects the x-axis at (2, 0). Therefore, the x-intercept is (2, 0).
To find the y-intercept, you need to see where the line intersects the y-axis, the vertical line with numbers on it. The line intersects the y-axis at (1, 0). Therefore, the y-intercept is (1, 0).
There are two ways to find the slope. The easiest one in my opinion is rise over run, but you can also use an equation too. I am going to be showing you the rise/run method, but you can also ask if you want the equation method as well. First of all, the line goes to the left, not the right, so we know that the slope is going to be negative. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). All you need to do is calculate the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). I am going to choose point (1, 0) if I go up by 2 and over by 4, I'll get to the point (-4, 3) that also lands on the line. 2/4 is 1/2. Therefore, the slope is -1/2.
I hope this helps! Let me know if I got something wrong.
ANSWER:
2
STEP-BY-STEP EXPLANATION:
We have the following equation of line:
The equation of the line in its slope and intercept form is like this:
Therefore, we must solve for y to know the value of the slope (m), like this:
The slope is 2