Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
More can be learned about linear functions at brainly.com/question/24808124
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<span>x = 3√2 is what i got</span>
Answer:
Step-by-step explanation:
1/12^2 = 1/144
Answer:
If you are asking what is 40% of 50,000, then it should be 20,000.
Step-by-step explanation:
<h2>
Forming Equations from Word Problems</h2>
To form equations from word problems, we can derive mathematical operations as well as variables from the given information.
In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.
<h2>Solving the Question</h2>
<em>Let r represent the pages left to read.</em>
<em />
792 pages in total
Walker reads 15 pages a day during the week and 25 pages a day during the weekend.
- There are 5 weekdays, and he reads 15 pages each of those days. ⇒ <em>r</em> = 792 - 5×15
- There are 2 weekend days, and he reads 25 pages each of those days.
⇒ <em>r</em> = 792 - (5×15 + 2×25)
5 weeks have passed
- Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
⇒ <em>r</em> = 792 - (5×15 + 2×25)×5
<h2>Answer</h2>
<em>r</em> = 792 - (5×15 + 2×25)×5
