The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant’s height at any time? Time (months) Plant Height (cm) 3 21 5 35 7 49 %C2%A09 63 (1 point) Responses y%C2%A0– 21 = (x%C2%A0– 3) y%C2%A0– 21 = Image with alt text: 7 over 2 ( x%C2%A0– 3) y%C2%A0– 21 = 7(x%C2%A0– 3) y%C2%A0– 21 = 7( x%C2%A0– 3) y%C2%A0–%C2%A03 = (x%C2%A0– 21) y%C2%A0–%C2%A0 3 = Image with alt text: 7 over 2 ( x%C2%A0– 21) The relationship is nonlinear.

Question

The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant’s height at any time?  Time (months) Plant Height (cm) 3 21 5 35 7 49 %C2%A09 63 (1 point) Responses  y%C2%A0– 21 = (x%C2%A0– 3) y%C2%A0– 21 = Image with alt text: 7 over 2 ( x%C2%A0– 3)  y%C2%A0– 21 = 7(x%C2%A0– 3) y%C2%A0– 21 = 7( x%C2%A0– 3)  y%C2%A0–%C2%A03 = (x%C2%A0– 21) y%C2%A0–%C2%A0 3 = Image with alt text: 7 over 2 ( x%C2%A0– 21)  The relationship is nonlinear.

Bot GPT 3.5 · Answer

To determine the equation in point-slope form, we need to find the slope of the line that represents the relationship between time (x) and plant height (y). If we observe the table, we can see that for every 2 months that pass, the plant height increases by 14 cm. This means that the slope of the line is 14/2 = 7. Now, let's choose one point from the table to use in the point-slope form equation. We can use the point (3, 21) since it is given in the table. Using the point-slope form equation, y − y1 = m(x − x1), where (x1, y1) is a point on the line and m is the slope, we can substitute the values into the equation: y − 21 = 7(x − 3) Therefore, the correct equation in point-slope form is y − 21 = 7(x − 3). Answer: y − 21 = 7(x − 3).