The equation to determine the weekly earnings of an employee at the hamburger shack is given by w(x), where x is the number of h
ours worked. w(x) = 10x, 0 ≤ x ≤ 40 15(x − 40) + 400, x > 40 determine the difference in salary, in dollars, for an employee who works 52 hours versus one who works 38 hours. determine the number of hours an employee must work in order to earn $445. explain how you arrived at this answer.
1 answer:
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is $200.
b) An employee must work 43 hours to earn $445.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is $200.
b) An employee must work 43 hours to earn $445.
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Answer:
Fourth option.
Sixth option.
Step-by-step explanation:
We know that:
- Any number you can find on the number line, is a Real number.
- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.
- A Rational number is that number that can be written in the following form:
Where "a" and "b" are integers ().
- An Irrational number cannot be written as a simple fraction.
- A Whole number is any of the numbers {}. Every Whole number is a Rational number.
- Natural numbers contain the set of positive integers{} or to the set of nonnegative integers {
}, Every Natural number is a Rational number.
Based on this, since is in the form
where
and
, it is a Rational Number and therefore a Real number.
Hey there!
Let's write this as a ratio/proportion.
The sum of this basic ratio is 4.25.
To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.
34/4.25=8
Now, we multiply our two ingredients by eight.
2.75(8)=22
1.5(8)=12
Note that these two add up to make 34 tablespoons.
Therefore, we have...
22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.
I hope this helps! Have a great day! :)