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xz_007 [3.2K]
3 years ago
9

A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 ​seconds, th

e gauge on the bottle indicates that it contains 1919 ounces of water. After it has been filling for 1111 ​seconds, the gauge indicates the bottle contains 3737 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that relates the amount of water in the​ bottle, y, to the time x.
Mathematics
1 answer:
True [87]3 years ago
8 0

Answer:

y=3x+4

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

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.

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Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds.
Gemiola [76]

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33  (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49   (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058  (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

5 0
3 years ago
!!!!GIVING FIFTY POINTS T WHOEVER HELPS ME PLEASE!!!!
nadezda [96]

Answer:

14)9

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16)57

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4 0
3 years ago
Consider the line 2x+3y=-7
7nadin3 [17]

Good evening ,

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Look at the photo below for the answer.

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7 0
3 years ago
Use the table below to complete exercise 7
12345 [234]
C is the answer I believe
3 0
3 years ago
How do I solve 6x—20=
REY [17]

Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

4 0
3 years ago
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