Subjects algebra

Office Space Cost C7D09E

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Office Space Cost C7D09E


1. **State the problem:** We need to find the cost per square foot to lease office space for January, February, and March, given the price increases each month. 2. **Given data:** - January cost: 2625 for 2100 square feet. - February price per square foot increases by 20% from January. - March price per square foot increases by 50% from February. 3. **Calculate January price per square foot:** $$\text{Price per square foot in January} = \frac{2625}{2100} = 1.25$$ 4. **Calculate February price per square foot:** $$\text{February price} = 1.25 + 0.20 \times 1.25 = 1.25 \times 1.20 = 1.5$$ 5. **Calculate March price per square foot:** $$\text{March price} = 1.5 + 0.50 \times 1.5 = 1.5 \times 1.50 = 2.25$$ 6. **Summary:** - January: $1.25$ per square foot - February: $1.50$ per square foot - March: $2.25$ per square foot 7. **Graph function:** The cost per square foot $y$ as a function of month $x$ (where $x=1$ for January, $2$ for February, $3$ for March) can be represented by points: $$ (1, 1.25), (2, 1.5), (3, 2.25) $$ This shows the increasing cost per square foot over the three months.