1. **State the problem:** We want to estimate the dog's weight at 7 months old based on the given data points for months 1 through 6. 2. **Given data points:** (1, 10), (2, 20), (3, 30), (4, 50), (5, 55), (6, 57). 3. **Approach:** Since the graph is a line graph with points connected by straight segments, we can use linear interpolation or extrapolation between the last two points to estimate the weight at 7 months. 4. **Calculate the slope between months 5 and 6:** $$m = \frac{57 - 55}{6 - 5} = \frac{2}{1} = 2$$ 5. **Use the point-slope form to find the weight at 7 months:** $$y - 57 = 2(x - 6)$$ $$y = 2(7 - 6) + 57 = 2 \times 1 + 57 = 59$$ 6. **Interpretation:** The estimated weight at 7 months is 59 pounds, which is closest to 60 pounds from the given options. **Final answer:** The dog will weigh approximately **60 pounds** at 7 months old.