Question

c. is the percentage paved of the roads surface a linear function of the day?

1. in science class, tyler uses a graduated cylinder with water in it to measure the volume of some identical ball bearings. after dropping in 6 ball bearings so they are all under water, the water in the cylinder is at a height of 12 milliliters. after dropping in 4 additional ball bearings so they are all under water, the water in the cylinder is at a height of 13 milliliters.

a. what is the volume of 1 ball bearing?
b. how much water was in the cylinder before any ball bearings were dropped in?

Explanation:

Step1: Find volume of 4 bearings

The volume increase from 6 to 10 bearings is $13 - 12 = 1$ milliliter.

Step2: Calculate 1 bearing volume

Divide the total increase by 4: $\frac{1}{4} = 0.25$ milliliters.

Step3: Find initial water volume

Let $V$ = initial water volume. Use 6 bearings: $V + 6\times0.25 = 12$.
Simplify: $V + 1.5 = 12$
Solve for $V$: $V = 12 - 1.5 = 10.5$ milliliters.

Answer:

a. 0.25 milliliters
b. 10.5 milliliters