Answer :
Answer:
OK, so 17 feet is 17x12= 204+8= 212 inches is the length
And 11 feet is 11x12= 132+8= 140 inches is the width.
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The area of a rectangle is LxW= 212x140= 29,680 square inches.
Now, we are talking about SQUARED numbers, right? So, 1 foot = 12 inches and 1 square foot = 12^2=144 inches.
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We said the room is 29,680 square inches, and 29,680/144= 206.11 and we round off to the nearest foot = 206 square feet.
And the cost?: 206x2.89= $595.34
Final answer:
The variables for this problem are x, representing square footage of office space, and y, representing the cost to rent that space. The linear equation that represents this scenario is y = $1.33x + $50, figured by calculating the slope and y-intercept using the given points.
Explanation:
In this situation, we can define our variables as follows: let x be the amount of square footage of office space, and let y be the amount it costs to rent that amount of office space. We have two points that we can use to determine our linear equation: (600, $750) and (900, $1150).
First, we need to find the slope of the line that connects these two points. The formula for the slope is (y2 - y1) / (x2 - x1). So, using our points this would be ($1150 - $750) / (900 - 600) = $400 / 300 = $1.33 per square foot (rounded to two decimal places).
Next, we can use the y-intercept formula: y = mx + b. Using the slope we found and one of our points, for example (600, $750), we can solve for b: $750 = $1.33 * 600 + b -> b = $750 - $1.33 * 600 = $50.
So, the equation for renting office space in the building on West Main Street is y = $1.33x + $50.
Learn more about linear equation here:
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