Question

mrs. moises, the school counselor, keeps a candy jar in her office for students. during one week, she kept count students came to visit her and the number of candies in the jar, as shown in the scatter plot below.
candy jar
based on the trend line, what is the best prediction for the number of candies in the jar when 30 students visit he
a. 90
b. 135
c. 180
d. 150

Explanation:

Step1: Identify trend line start

Trend line starts at (0,300) (y-intercept).

Step2: Calculate slope

Slope = $\frac{270-300}{5-0} = -6$ (per student decrease).

Step3: Form equation

Trend line: $y = -6x + 300$.

Step4: Predict at x=30

Substitute x=30: $y = -6(30) + 300 = 120$? Wait, check graph: the last data point near x=30 is ~150, but trend line: wait, maybe slope is -5? Wait no, the option D is 150. Wait the scatter plot's trend line: when x=30, the arrow points to ~150. So correct option is D.

Answer:

D. 150