Answer :
Answer: -5t + 1380
Step-by-step explanation:
Let's consider the variables we have:
10 = one hour as a tutor
15 = one hour as a waitress
92 = total hours worked in each job
First, let's make an equation to represent the hours worked.
Since 92 is our total, it will go on one side of the equation to represent the total number of hours. Let t = total hours tutoring and w = total hours as a waitress.
t + w = 92
92 - t = w
92 - w = t
Second, we can make an equation to represent our total earnings. Let d represent total earnings in dollars:
10t + 15w = d
This equation translates to: the total she earned working t hours making $10 an hour as a tutor and the total she earned working w hours making $15 an hour as a waitress equals d total dollars.
Now, we can try to look at the problem as if we are trying to find the total earnings for one of the jobs. Let's pretend we are finding the total earnings for the waitress job. Our equation would be:
d - 10t = 15w
d - 10t = 15(92 - t)
d - 10t = 1380 - 15t
We can try to isolate the variable d.
d - 10t = 1380 - 15t
+10t +10t
d = 1380 - 5t
The question is asking for an expression. The difference between an expression and an equation is that an equation has an equal sign (=) while an expression does not. We will use the right side of our equation.
Therefore, your final expression is:
1380 - 5t, or -5t + 1380
See similar problems here with different solutions here: https://brainly.com/question/32867060
Hope this helps!