Look at the data. Time (min)
Depth (cm)
2
8
4
15
6
29
8
37
10
39
12
49
14
55
A person measured the depth of water in a bathtub at two-minute intervals after the
tap was turned on. Use the line of best fit to find the amount of water, in cm, present
initially in the bathtub. Round to the nearest integer.

2 cm

Step-by-step explanation:

Data

Time (min)     Depth (cm)

2                    8

4                    15

6                    29

8                    37

10                   39

12                   49

14                    55

The  line of best fit to find the amount of water is:

y = 3.9107x + 1.8571

(I used Excel to get it, you can use a calculator or similar programs if you want to)

In the equation, y represents depth (in cm) and x represents time (in min).

The amount of water, in cm, present  initially in the bathtub is found at time equal to zero. Replacing x = 0 in the equation, we get:

y = 3.9107(0) + 1.8571

y = 1.8571  ≈ 2 cm

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.