Name:________________________________________
Algebra 1
Homework – Scatter Plots, Lines of Best Fit, and Writing Linear Functions Word Problems
1.a. Use the data below to make a scatter plot that shows a person’s weight after consecutive days dieting and
exercising.
Day
Weight
(lbs)
1
2
3
4
5
6
7
8
9
10
205
205
204
202
201
199
198
197
196
195
1.b. Are there any outliers? If so, circle the outlier on your graph. Explain why that point is an outlier?
1.c. What type of correlation is represented in this scatter plot?
1.d. Draw the line of best fit on your scatter plot and write the equation of the line of best fit below.
1.e. Predict this person’s weigh after 15 days.
2. Joseph and Jeffrey started their own snow shoveling business. They charge a one-time maintenance fee and
$12.50 per hour. Last week they shoveled for 6 hours and the total cost was $100.
a) Write a linear function that models the total cost, T, as a function of the number of hours, h.
b) What does the y-intercept represent?
c) What does the slope represent?
d) Find T(3). Explain what it represents.
e) What are the minimum and maximum values? Explain for each.
f) Graph.
3. In 2004 the population of a town was 14,150. In 2014 the population of the same town was 22,400.
a) Write an equation that models the total population P in terms of the year, t, where t is the number of years
since 2002.
b) What does the slope represent?
c) What does the y-intercept?
d) Find P(10). Explain what this represents.
e) Find t, such that P(t) = 16,625. Explain what this represents.