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Semmy [17]
3 years ago
11

For the given situation identify the independent and dependent variables and then find a reasonable domain and range of values .

Listed below will be four statements that relate to the given situation.Choose the statement that would have to be False given the situation and it’s parameters .
Jane owns a scooter that can travel 65 miles per gallon of gasoline. Her gas tank holds 2.5 gallons. She is planning on taking a

shopping trip around her city.


A. The domain is 2.5 gallons to 0 gallons.


B. The range is 0 miles to 162.5 miles.


C. The independent variable is how much gasoline she will use.


D. The Dependant variable is how many hours she will spend shopping in the stores.
Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer:

D. is false

Step-by-step explanation:

The first thing is to define and find each of the things they ask us for:

 -Independent variable: It is the variable that does not depend on another value, that is, it would be the value to be defined. In the particular case, it would be the amount of gasoline to recharge.

 -Dependent variables: It is the variable that depends on the independent variable, its value depends on another value. In this particular case, then it would be the distance that can be traveled.

 -Domain: It is the value series, which can take the independent variable, in this case it is restricted by the vehicle's gas tank. The domain in this case is 0 to 2.5 gallons.

-Range: It is the series of values ​​that the distance the vehicle can travel, is determined by the gasoline performance of the vehicle and limited by the amount of fuel. The range in this case is from or up to 162.5 (65 * 2.5) miles.

Based on this statement, A, B and C are correct.

Statement D is not related to the statement, and we already know what the dependent variable actually is.

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Answer:

$2000 invested in first fund

$1500 invested in second fund

Step-by-step explanation:

An investor invested a total of ​$3,500 in two mutual funds.

Let x be the amount invested in first fund

first fund earned a 4​% profit (4%= 0.04)

So interest is 0.04x for first fund

Let x be the amount invested in first fund

first fund earned a 4​% profit (4%= 0.04)

So interest is 0.04x for first fund

Let y be the amount invested in second fund

second fund earned a =2​% profit (2%= 0.02)

So interest is 0.02y for second fund

An investor invested a total of ​$3,500 in two mutual funds.

So x+y = 3500----> equation 1

y= 3500-x

the​ investor's total profit was ​$110

0.04x + 0.02y = 110----> equation 2

Plug in 3500 -x for y

0.04x + 0.02(3500-x) = 110

0.04x + 70 - 0.02x = 110

0.02x + 70 = 110

Subtract 70 onboth sides

0.02x = 40

Divide both sides by 0.02

x= 2000

y= 3500-x

so y= 3500 - 2000 = 1500

$2000 invested in first fund

$1500 invested in second fund



3 0
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668

Step-by-step explanation:

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Step-by-step explanation:

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