Formulas make everything easier
The first semester accounts for 30% of my final grade, the second semester accounts for 40% of my final grade, and my final test accounts for the rest.
If I got a 98 for my first semester, a 92 for my second semester, and want to get a 95 as my final grade, what must be the minimum score on my final? (94.5 rounds up to 95)
(round to the tenths place)
The answer is 94.3.
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1 solution
Moderator note:
Given that it asks for the minimum value, you should be using inequality signs to show why that would be the minimum.
To find the answer, we must simply create a formula.
a=first semester grade,
b=second semester grade,
c=final test grade,
d=overall class grade,
0.3(a) + 0.4(b) + 0.3(c) = d
Replacing the variables with the known values, we get this equation:
0.3(98) + 0.4(92) + 0.3(c) ≥ 94.5
After solving for c, we get the answer (rounded to the tenth decimal place):
c ≥ 94.3