Joaquin can read one comic book in 15 minutes. Write and solve an equation to determine how many comic books he can read in 75 m
1 answer:
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Explanation:
Anna gets paid $8.75/hour working as a barista.
She gets paid $9.00/hour for creating weekly advertisement signs.
In total she works 25 hours a week.
Let 'x' represent the number of hours that she works as a barista, then would represent the number of hours she works to create signs.
A. We need to write a function h(x) that represents the amount of money that Anna earns working as a barista.
Since she is earning $8.75 per hour and she works as a barista for 'x' hours a week so the function is:
B. We need to write a function f(x) to represent the hours Anna works creating the signs.
Since, in total she works for 25 hours a week so the function to represent the number of hours she work to create signs can be given by:
C. If 's' represents the number of hours that Anna works creating signs, we need to create a function g(s) that represents her earning creating signs.
So the number of hours Anna works creating signs for the coffee break is , she gets paid $9.00 an hour for creating signs, so:
D. We need to finf a composite function , to find the desired function we need to plug value of f(x) in the function g(s):
The composite function g(f(x)) represents Anna's earnings while working just to create signs for the Coffee break.
E. To represent Anna's total earnings the functions that can be combined are h(x) and g(f(x)) because h(x) represents Anna's earnings while working as a barista and g(f(x)) represents Anna's earnings while she creates signs for the coffee break.
The function to represent Anna's total earnings can be given as:
where we must keep in mind that 'x' represents the number of hours she spent working as a barista in a 'week'.
The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.
What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.
Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.