Choose the model that represents the function shown

Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o

dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0

3 years ago

) a 200 gallon tank initially contains 50 gallons in which are dissolved 5 pounds of salt. the tank is flushed by pumping pure w

bulgar [2K]

(a) The 150 gallons of empty space in the tank are being filled at the rate of 1 gallon per minute. The tank will be filled after 150 minutes.

(b) s(0) = 5
.. s'(t) = -2s(t)/(50 +t)

6 0

3 years ago

a park covers a total area of 644 acres there are 482 more acres of woods than grassy areas in the park how many acres are there

maw [93]

Answer:

woods are 81 acres, grass 563 acres

Step-by-step explanation:

3 0

3 years ago

The gum you like is on sale. it is regularly priced at $1.59.

Gemiola [76]

Answer:

The required equation is c = 1.59 - s

Step-by-step explanation:

Here, s represents the sales price per pack and c represents the cost saving,

Also, the regular price per pack = $ 1.59,

Since,

Cost saving = Regular price - sales price

⇒ c = 1.59 - s

Which is the required equation that is used to determine how much money is saved if the pack is bought today.

3 0

3 years ago

Read 2 more answers

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

1 year ago