We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line $(5,19)$ and $(11,37)$ .

Let us find slope of the line passing through these points.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{37-19}{11-5}$

$m=\frac{18}{6}$

$m=3$

We will write our required equation in slope-intercept form $y=mx+b$ , where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting $m=3$ and coordinates of point $(5,19)$ in slope intercept form.

$19=3\cdot 5+b$

$19=15+b$

$19-15=15-15+b$

$4=b$

Therefore, our required equation would be $y=3x+4$ .

8 0

3 years ago

Mr. Jenkins deposited $1,250 into an account. He made no additional deposits or withdrawals.Mr. Jenkins earned 4.25% annual simp

kolbaska11 [484]

Answer: $1,462.50

Step-by-step explanation: Can you help answer my question please? Just go to my profile and it was My most recently asked question.

3 0

3 years ago

Read 2 more answers

Look at the pair of equivalent expressions. 36 + 8 = ?(9 + 2) What number is missing from the expression?

JulijaS [17]

Answer:

? = 4

4 is the number missing on the right.

Step-by-step explanation:

Check out the 8 on left. It has become a 2 on the right. How did that happen?

What do you have to multiply the 2 by to get 8?

Before I answer, check out the 9 on the right. What did you have to multiply it by to get 36? The answer to that is 4 isn't it?

What about the 2. Don't you have to multiply it by 4 to get 8?

36 + 8 = 4(9 + 2) The distributive property on the right will produce the numbers on the left.

So ? = 4

7 0

3 years ago