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Answer:
(a) The student need 82 points on the final to average 74.
(b) The student must score 41 points on the final, assuming that the final carries double the weight.
Step-by-step explanation:
We are given that a student's grades in the three tests in College Algebra are 85, 60, and 69.
As we know that the formula for calculating the average of numbers is given by;
Average (Mean) =
(a) Let the points student need on the final test to average 74 be ''.
So, Average of all four test =
Hence, the student needs 82 points on the final to average 74.
(b) It is given that the final carries double the weight, this means that let the points student need on the final test to average 74 be ''.
So, Average of all four test =
= 41
Hence, the student must score on the final 41 points, assuming that the final carries double the weight.
Malcom Davis earnings is an illustration of equations and proportions.
- The equation is:
- The gross income must be $300000, for Dave to earn the same amount with either plan.
- His earning is $3333.33 when the plans are the same.
Let the profit be P, and the gross income be G.
So, we have:
<u>(a) The equations</u>
For plan A, we have:
<em /><em> ----1/90 of the company's gross income</em>
For plan B, we have:
<em /><em> ----1/90 of the company's profit</em>
When both are the same, we have:
This gives
Substitute
Hence, the equation is:
<u>(b) Solve the equation in (a), and intepret</u>
Cross multiply
Collect like terms
Divide both sides by 30
The gross income must be $300000, for Dave to earn the same amount with either plan.
<u>(c) His earnings based on (c)</u>
We have:
Substitute
His earning is $3333.33 when the plans are the same
<u>(d) If the gross income in less than (b)</u>
If the gross income is <em>less than $300,000</em>, then plan A would better for Malcom Davis, because his earnings in plan A would be <em>greater than </em>plan B
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