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.