If a trend line had the equation \( y=2.7 x-0.17 \), what \( y \)-value would you expect to obtain when \( x \) has the following values? \( \begin{array}{lll}\text { a. } 3 & \text { b. } 0 & \text { c. } 15\end{array} \) a. When \( x=31.7 \) (Type an integer or decimal rounded to the nearest hundredth as needed.) b. When \( x=0, y=-0.17 \). (Type an integer or decimal rounded to the nearest hundrest 1 th as needed.) c. When \( x=15, y=40.33 \). (Type an integer or decimal rounded to the nearest hundredth as needed.) d. When \( x=21.7, y=\square \). (Type an integer or decimal rounded to the nearest hundredth as needed.)

To find the \( y \)-value for a given \( x \) using the trend line equation \( y = 2.7x - 0.17 \), you simply substitute the \( x \)-value into the equation and perform the calculations. Let's address each part: ### a. When \( x = 31.7 \) \[ y = 2.7 \times 31.7 - 0.17 = 85.59 - 0.17 = 85.42 \] **Answer:** \( y = 85.42 \) ### b. When \( x = 0 \) \[ y = 2.7 \times 0 - 0.17 = 0 - 0.17 = -0.17 \] **Answer:** \( y = -0.17 \) ### c. When \( x = 15 \) \[ y = 2.7 \times 15 - 0.17 = 40.5 - 0.17 = 40.33 \] **Answer:** \( y = 40.33 \) ### d. When \( x = 21.7 \) \[ y = 2.7 \times 21.7 - 0.17 \] First, calculate \( 2.7 \times 21.7 \): \[ 2.7 \times 21.7 = 58.59 \] Then subtract \( 0.17 \): \[ 58.59 - 0.17 = 58.42 \] **Answer:** \( y = 58.42 \) --- **Final Answer for Part d:** When \( x = 21.7 \), \( y = 58.42 \).