MATH SOLVE

4 months ago

Q:
# The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?A.) 21ftB.) 27ftC.) 30ftD.) 57ft

Accepted Solution

A:

Answer:B.) 27ftStep-by-step explanation:The labeled points given: (5,18) and (1.5, 7.5)Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3A linear model:y - 18 = 3(x - 5)y - 18 = 3x - 15y = 3x + 3If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)y = 3(8) + 3y = 24 + 3y = 27 ftAnswer: B.) 27ft