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torisob [31]
3 years ago
11

A water truck is filling a swimming pool. The equation that represents this relationship is y = 19.75x where y is the number of

gallons of water in the pool and x is the number of minutes the truck has been filling the pool. Choose True or False for each statement.
A. The unit rate for this relationship is 1 gallon per 19.75 minutes.
B. This is a proportional relationship because the graph of the equation is a straight line through the origin.
C. The water in the swimming pool increases by about 100 gallons every 5 minutes.
D. A table of related x- and y- values for this relationship would show equivalent ratios.
E. The point (8,150) could be a point on this graph.
Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

Step-by-step explanation:

1. true

2. true

3. true

4. true

5. true

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Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a
densk [106]
To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

m= d {e}^{tc}

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

ln( \frac{m}{d} ) = tc

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

ln( \frac{4331.16}{4132.79} ) = (0.25)c

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

ln( \frac{8000}{4132.79} ) = t(0.1875)

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!
5 0
3 years ago
Read 2 more answers
What happens when an object accelerates ?
arlik [135]
When an object start to accelerates it changes its state of motion.
4 0
3 years ago
Which relation is a function? Graph with 5 points plotted at (negative 3, 2), (negative 2, 2), (negative 1, 2), (negative 2, neg
Olenka [21]

Answer:


use the verticle line test. if a verticle line touches two points on the graph then it is not a function, if the verticle line only touches one point then it is a function.

for your question the answer is the 3rd option - Graph with 5 points plotted at (negative 3, 2), (negative 2, negative 1), (0, 3), (1, 0), and (2, negative 3)


3 0
3 years ago
Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t
Gnom [1K]

Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x  value of 1 dime + number of quarters x  value of 1 quarter = 4.80

d \times 0.10 + q \times 0.25 = 4.80

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

<h3>q = 12</h3>

From eqn 3,

d = 30 - 12

<h3>d = 18</h3>

Thus she has 18 dimes and 12 quarters

6 0
3 years ago
There were 4.24 liters of Solution B available in the science lab. Lotte used 0.38 of that amount. By rounding to the greatest p
Blizzard [7]

Answer:

B:0.16

Step-by-step explanation:

Because you keep adding it and you will soon have 4.24 liters

8 0
3 years ago
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