1. **Problem statement:** We have golf irons numbered 1 to 9 with corresponding angle measures in degrees: 12°, 16°, 20°, 24°, 28°, 32°, 36°, 40°, 44°. We want to find the equation relating the iron number $x$ to the angle $v$.
2. **Identify the pattern:** The angle increases by 4° for each increase of 1 in the iron number.
3. **Write the linear equation form:** Since the relationship is linear, we use the formula for a line:
$$v = mx + b$$
where $m$ is the slope and $b$ is the y-intercept.
4. **Calculate the slope $m$:** The slope is the change in angle divided by the change in iron number:
$$m = \frac{16 - 12}{2 - 1} = \frac{4}{1} = 4$$
5. **Find the intercept $b$:** Using the point for 1-iron ($x=1$, $v=12$):
$$12 = 4 \times 1 + b \implies b = 12 - 4 = 8$$
6. **Final equation:**
$$v = 4x + 8$$
This equation means for any iron number $x$, the angle $v$ can be found by multiplying $x$ by 4 and then adding 8.
7. **Graph description:** Plot points $(1,12), (2,16), (3,20), \ldots, (9,44)$ and draw the line $v=4x+8$ through them.
**Answer:** The equation relating iron number $x$ to angle $v$ is $$v = 4x + 8$$.
Golf Iron Angle 4D4B24
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