Leah has a flower vase in the shape of a rectangular prism with a square base. The vase has a height of 12 inches.
There are flowers and some water in the vase. The water is getting low, so Leah takes the vase to the sink and begins to add water.
After 5 seconds, the height of the water in the vase is 3.85 inches.
After 10 seconds, the height of the water in the vase is 5.7 inches.
Write a linear function that models the relationship between the number of seconds the water has been running and the height of the water in the vase. Enter your answer and explanation in the box
We can use the "points" (5, 3.85) and ( 10 , 5.7) = ( t . h)
The slope of the line is ( 5.7 - 3.85) / ( 10 - 5) = 1.85 / 5 = 37 / 100
The equation of the line is
h = (37/100) ( t -10) + 5.7 simplify
h = (37/100)t - 3.7 + 5.7
h = .37t + 2 where h is the height after t seconds