### Home > PC > Chapter 8 > Lesson 8.1.4 > Problem8-61

8-61.
1. Michelle started walking at 3 ft/s and steadily increased her speed so that she was walking 6 ft/s after 300 seconds. Homework Help ✎

1. Sketch a straight-line graph showing Michelle’s velocity as a function of time.

2. Write the equation of this line.

3. Show that Michelle walked 198 feet in 1 minute and 1350 feet in 5 minutes.

4. How far did Michelle walk in T seconds for 0 ≤ T ≤ 300?

Find the slope of the line and the y-intercept. Write the equation in y = mx + b form.

Find the area under the curve after 1 minute and then after 5 minutes.

198 feet

$A = \frac{1}{2}(3 + (3 + 0.01T ))T = 3T + 0.005T ^{2}$