It is almost the end of the grading period. I have 730 out of 880 points so far in my math class which means I currently have a
B (83%). There are 90 points remaining before grades come out. My teacher rounds each student's score to the nearest percent. What is the fewest number of points I need to get and end up with a grade of...
C (at least 70%)?_____
B (at least 80%)?_____
A (at least 90%)?_____
Plz help me figure this out
C (at least 70%)?_____
B (at least 80%)?_____
A (at least 90%)?_____
Plz help me figure this out
2 answers:
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Is this what you are looking for? I hope this helps!
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
