Now, solve for the value of b, or the vertical intercept.

Question

x
y
(3, 90)(6, 150)
0
1
2
3
4
5
6
7
8
9
10
0
15
30
45
60
75
90
105
120
135
150
165
180
195
210
Time (minutes)
Amount of Water (liters)
y=20x+b

90
=
20·3+b

b
=

Answer 1

To solve for \( b \) in the equation \( y = 20x + b \) using the given point \( (3, 90) \), we can substitute \( x \) and \( y \) into the equation.

Given:

• \( x = 3 \)
• \( y = 90 \)

We substitute these values into the equation:

\[ 90 = 20(3) + b \]

Now, calculate \( 20(3) \):

\[ 20 \times 3 = 60 \]

So the equation becomes:

\[ 90 = 60 + b \]

Next, solve for \( b \):

\[ b = 90 - 60 \] \[ b = 30 \]

So, the value of \( b \) (the vertical intercept) is \( \boxed{30} \).