MATHEMATICS HIGH SCHOOL

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $

Answers

Answer 1

Answer:

Answer:

y = 260x + 700
$5900

Step-by-step explanation:

We can describe it as a linear function with points of:

(5, 2000) and (15, 4600)

Slope intercept formula:

y = mx +b

Finding the slope using the two given points:

m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

2000 = 5*260 + b

b = 2000 - 1300 = 700

Formula obtained:

y = 260x + 700

For x = 20, value of y is:

y = 260*20 + 700 = 5200+700 = $5900

Answer 2

Answer:

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:

slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260

y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700

Therefore, the equation of the line is y = 260x + 700.

To find the cost to produce 20 heaters, we substitute x = 20 into the equation:

y = 260 * 20 + 700 = 5200 + 700 = 5900

So, the cost to produce 20 heaters is $5900.

Learn more about Linear function here:

brainly.com/question/40461731

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Answers

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Answers

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Avery has a total of $12.50 in her piggy bank at home. Each week she takes out $1.25 to ride the city bus. Write an equation representing the balance, C, in the piggy bank, where w is the number of weeks.A) C = 1.25w – 12.50
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Answers

For this case we have a function of the form:

$c (w) = mw + b$

Where,

b: initial amount
m: weekly rate of change
w: number of weeks
c: total balance

We have then that Avery has a total of $ 12.50 in her piggy bank at home:

$b = 12.50$

Each week she takes out $ 1.25 to ride the city bus:

$m = -1.25$

Substituting values we have:

$c (w) = - 1.25w + 12.50$

Answer:

an equation representing the balance, C, in the piggy bank, where w is the number of weeks is:

$c (w) = - 1.25w + 12.50$

Option C

amount now-bus=ballance
bus=number of weeks times how much taken out each time
12.5=amount now
bus=1.25w

C=12.50-1.25w
or
C=-1.25w+12.5

answer is C

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Answers

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Answers

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Now we plug in the values

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