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question 10 (1 point)(05.06 mc)the scatter plot shows the number of ani…

Question

question 10 (1 point)(05.06 mc)the scatter plot shows the number of animal cells clara examined in a laboratory in different months:number of cellsmonthswhat is the approximate predicted number of animal cells clara examined in the 9th month?a 280b 290c 340d 380

Explanation:

Step1: Identify data points

Points: $(1,20), (2,60), (3,100), (4,140), (5,180)$

Step2: Find slope of trend line

Slope $m = \frac{60-20}{2-1} = 40$

Step3: Find y-intercept of line

Use $(1,20)$: $20 = 40(1) + b \implies b = -20$

Step4: Write trend line equation

$y = 40x - 20$

Step5: Predict for x=9

$y = 40(9) - 20$

Answer:

a. 280