The pressure P in atmospheres (atm) at a depth d feet is given by the linear function below. 1 P(d) = 3d+1 a. Find and interpret the intercepts of y = P(d). b. Find P(0), P(10), P(99), and P(200). c. Find the depth at which the pressure is 9 atmospheres. a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The d-intercept is and it means that the pressure is 0, when the depth is feet. The y-inter O B. The d-intercept is and it means that the pressure is 0, when the depth is feet. There is na O C. There is no d-intercept because d20. The y-intercept is and it means that the pressure at se-
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![### Problem 2.6.43
The pressure \( P \) in atmospheres (atm) at a depth \( d \) feet is given by the linear function below:
\[ P(d) = \frac{1}{33}d + 1 \]
#### Tasks:
**a. Find and interpret the intercepts of \( y = P(d) \).**
**b. Find \( P(0) \), \( P(10) \), \( P(99) \), and \( P(200) \).**
**c. Find the depth at which the pressure is 9 atmospheres.**
#### Explanation:
- **Task a:**
- **Intercept Calculation and Interpretation:**
- Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
1. **A.** The \( d \)-intercept is \(\boxed{\phantom{1}}\) and it means that the pressure is 0, when the depth is \(\boxed{\phantom{1}}\) feet. The \( y \)-intercept is \(\boxed{\phantom{1}}\) and it means that the pressure at sea level ( \( d = 0 \) ) is \(\boxed{\phantom{1}}\) atm.
2. **B.** The \( d \)-intercept is \(\boxed{\phantom{1}}\) and it means that the pressure is 0, when the depth is \(\boxed{\phantom{1}}\) feet. There is no \( y \)-intercept because \( P \leq 0 \).
3. **C.** There is no \( d \)-intercept because \( d \ge 0 \). The \( y \)-intercept is \(\boxed{\phantom{1}}\) and it means that the pressure at sea level ( \( d = 0 \) ) is \(\boxed{\phantom{1}}\) atm.
4. **D.** There is no \( d \)-intercept because \( d \ge 0 \). There is no \( y \)-intercept because \( P \leq 0 \).
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Please respond with your choice and fill in the blanks accordingly based on the linear function provided. This exercise helps understand how to interpret and calculate intercepts from a given linear equation describing a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdafe61fc-c70a-4579-bf5c-a90ac61b494b%2F09d48e4b-3fd0-4813-9e42-28261b9865d4%2Fchs78l_processed.png&w=3840&q=75)
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