The value of "a" can be anything you want it to be. Usually, it is chosen to make the function meet some additional constraint, such as going through a particular point. You have not provided any such constraint, so there is no rationale for choosing any particular value of "a".
Let a=2, if you like.
t is the number of hours Lamar worked as a tutor
We know that he worked for 92 hours total, so he worked 92-t hours as a waiter.
So his earnings are: 7t + 8(92-t) = 736 -t dollars
This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644
736-92= 644
So our expression seems to be working.
The formula of g(x) is g(x) = -0.8x - 1.6
<h3>How to determine the
formula of g(x)?</h3>
The equation is given as:
-4x - 6 = 5y + 2
Subtract 2 from both sides
5y = -4x - 8
Divide through by 5
y = -0.8x - 1.6
Express as a function
g(x) = -0.8x - 1.6
Hence, the formula of g(x) is g(x) = -0.8x - 1.6
Read more about linear functions at:
brainly.com/question/4025726
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