Students in miss moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments. travis has passed 11 tests, and his classmate, jenifer, has passed 2 tests. going forward, travis plans to pass 2 tests per week. meanwhile, jenifer plans to pass 5 tests per week. eventually jenifer will catch up to travis. when the number of tests each student has passed are equal, how many tests will each student have passed and how many weeks will it take?

Jenifer

2+5 week 1

7+5 week 2

12+5 week 3

17 week4

Travis

11+2 week 1

13+2 week 2

15+2 week 3

17 week 4

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.