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3 years ago

Plz help and fast!! need it to be right!

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

First you need to solve for x by subtracting 9 from both sides (-3x less than/equal to 6), then dividing the inequality by -3, which would also flip the sign, so to speak. now you would have x is greater than/ equal to -2. now you would draw a circle above -2, fill it in since it is equal to, and draw the arrow going toward 0 (I think)

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Write and solve an equation using symbolic language.

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3 years ago

A taxi charges a base fee plus $0.75/km.

Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

A taxi charges a base fee plus $0.75/km.
A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

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3 years ago

Read 2 more answers

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on

hoa [83]

<h3><u>Question</u></h3>

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?

<h3><u>Answer:</u></h3>

Charlie saved $ 28

<h3><u>Solution:</u></h3>

Given that amount of money that Charlie saves each week is directly proportional to the amount he earns

Let y represent of saved money and x represent amount of earned money

Therefore,

$\text{ Amount of money saved each week } $\propto$ amount he earns$

$y \propto x$

y = kx --- eqn 1

Where "k" is the constant of proportionality

<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>

y = 32 and x = 512

Substituting in eqn 1, we get

$32 = k(512)\\\\k = \frac{32}{512} = 0.0625$

To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1

y = 0.0625(448) = 28

Thus charlie saved $ 28

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3 years ago

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DaniilM [7]

Answer:

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Step-by-step explanation:

I took the test.

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4 years ago