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Nesterboy [21]
3 years ago
5

Simplify: (25 – 5d) + 3(-15 + 9d)

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

22d -20

Step-by-step explanation:

(25 – 5d) + 3(-15 + 9d)

Distribute

25-5d -45 +27d

Combine like terms

-5d +27d   +25-45

22d               -20

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In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of
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Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at brainly.com/question/24808124

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