The linear equation to model the company's monthly expenses is y = 2.5x + 3650
<em><u>Solution:</u></em>
Let "x" be the units produced in a month
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.
Cost per unit = $ 2.50
The company has monthly operating expenses of $350 for utilities and $3300 for salaries
We have to write the linear equation
The linear equation to model the company's monthly expenses in the form of:
y = mx + b
Cost per unit = $ 2.50
Monthly Expenses = $ 350 for utilities and $ 3300 for salaries
Let "y" be the total monthly expenses per month
Then,
Total expenses = Cost per unit(number of units) + Monthly Expenses
Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650
Please consider the complete question.
Michelle bought the same fabric on 3 different occasions and recorded the data below.
Yards of Fabric Total Cost
2.2 $2.53
3.6 $4.14
4.2 $4.83
What was the price per yard of fabric?
To find the cost per yard of fabric, we will divide cost of yards by number of yards.
Let us find cost per yard using 2nd set of data.
Similarly we will find cost per yard for 3rd set of data.
Therefore, the cost per yard of fabric is $1.15.
<h3>
Answer: Aryan spent more time exercising.</h3>
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Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
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We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
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Notes:
- 2/3 hours = (2/3)*60 = 40 minutes
- 3/4 hours = (3/4)*60 = 45 minutes
- 45-40 = 5 extra minutes of exercise
-8.70833333333 about but you can round to the nearest tenth (-8.7) or nearest whole number (-9)
