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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
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Final answer:
The rent at Roosevelt Office Rentals is based on a linear function that can be defined using points given in the problem. The slope of the function is $1.125 per square foot and the y-intercept is $437.5. Therefore the linear function is: Rent = $1.125 * Size + $437.5.
Explanation:
Roosevelt Office Rentals - Rent Linear Function
The rent at Roosevelt Office Rentals is given by a linear relationship and we are given two points that define this relationship: (500 square feet, $700) and (900 square feet, $1150). We can use these two points to derive the linear function.
The formula for the slope (m) of a linear function is: (y2 - y1) / (x2 - x1). Plugging in the given values, the slope: m = ($1150 - $700) / (900 square feet - 500 square feet) = $450 / 400 square feet = $1.125 per square foot.
So far, our function looks like this: rent = $1.125 * size. However, since not all spaces cost the same on a per square foot basis, we also need to calculate the y-intercept, represented by b in the function, which is y = mx + b.
The y-intercept (b) can be found by plugging an ordered pair and the slope into the equation and solving for b. With (500, 700) and m = 1.125; B = y - m*x = 700 - 1.125*500 = $437.5.
Therefore, the linear function representing the relationship between size of space and rent at Roosevelt Office Rentals is: Rent = $1.125 * Size + $437.5
Learn more about linear function here:
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