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daser333 [38]
3 years ago
14

An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y

when it contains x cups of water?
Mathematics
2 answers:
kiruha [24]3 years ago
7 0
J = jug
J = 0.5x + 0.5
leva [86]3 years ago
5 0

Answer:

The equation can be modeled be : y = 0.5 + 0.5 × x

Step-by-step explanation:

Weight of empty 6-gal water jug = 0.5 lb

After filling 3 cups of water inside, the weight of jug becomes 2 lb

So, increased weight after filling 3 cups of water = 1.5 lb

So, weight of 1 cup of water = 0.5 lb

Now, weight of the jug be y and water filled be x cups

Hence, The equation can be modeled be :

y = 0.5 + 0.5 × x

Thus, this is our required equation.

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What is the explicit rule for the geometric sequence?<br> 600, 300, 150, 75, ...
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Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}

So, the explicit formula is for n

\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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