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Inga [223]
3 years ago
13

You have a $20 phone card. Calls made using the card cost $.03 per minute to destinations in the United States and $.06 per minu

te to destinations in Brazil. Write an inequality describing the numbers of minutes you can use for calls to the U.S. and Brazil.
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:  .03x + .06y ≤ 20

<u>Step-by-step explanation:</u>

Let x represent the number of minutes to the US and

let y represent the number of minutes to Brazil

and make sure their sum is not greater than $20

.03x + .06y ≤ 20

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2 years ago
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Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

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If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

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