Ms. Francis is buying some groceries. They total to $35.50. Sales tax is 4.5%. When she goes to pay, how much will
2 answers:
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For this case, the first thing we must do is define variables.
We have then:
t: number of hours
F (t): total charge
We write the function that models the problem:
Where,
b: represents an initial fee.
We must find the value of b.
For this, we use the following data:
Her total fee for a 4-hour job, for instance, is $ 32.
We have then:
From here, we clear the value of b:
Then, the function that models the problem is:
Answer:
the function's formula is:
Set up the following equations:
x is the amount of hours worked on the weekday job, and y is the amount of hours worked on the weekend job.
We'll use substitution to remove one of the variables.
Multiply the first equation by -18 to get opposite coefficients for y:
Combine these two equations together:
Divide both sides by 2 to get x by itself:
Plug in x to the first original equation:
Subtract 25 from both sides to get y by itself:
He worked 25 hours at his weekday job, and 15 hours at his weekend job.
x is the amount of hours worked on the weekday job, and y is the amount of hours worked on the weekend job.
We'll use substitution to remove one of the variables.
Multiply the first equation by -18 to get opposite coefficients for y:
Combine these two equations together:
Divide both sides by 2 to get x by itself:
Plug in x to the first original equation:
Subtract 25 from both sides to get y by itself:
He worked 25 hours at his weekday job, and 15 hours at his weekend job.