Question

let e be a colleges enrollment (in thousands of students) at t years since the college began. some pairs of values of t and e are shown in the table.
t (years) e (thousands of students)
0 4
1 6
2 8
3 10
4 12
a. create a scattergram of the data. then draw a linear model. choose the correct scattergram.
a.
b.
c.
d.

Explanation:

Step1: Analyze the data points

The data points from the table are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12). We need to check which scattergram has these points plotted correctly.

Step2: Check the axes and points

• For the x - axis (t - years), the values are 0, 1, 2, 3, 4. For the y - axis (E - thousands of students), the values are 4, 6, 8, 10, 12.
• Let's check each option:
• Option A: The y - axis values seem too low initially and the spacing doesn't match.
• Option B: Let's check the coordinates. When t = 0, E = 4; t = 1, E = 6; t = 2, E = 8; t = 3, E = 10; t = 4, E = 12. The points in option B seem to match these coordinates.
• Option C: The y - axis range is too small (up to 10) and the x - axis range is too large (up to 28), which doesn't match our data.
• Option D: The initial point (t = 0) has a very low y - value which doesn't match E = 4.

Answer:

B