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horsena [70]
3 years ago
9

A new restaurant is having advertising flyers printed. The cost to design and lay out the flyer is $300. There is an additional

cost of $0.12 per flyer printed.
Identify the fixed cost and the variable cost of the partial variation.
(2 marks)

Fixed cost (b) = _________ Variable cost (m) = ___________

Write the equation representing this relationship in the form y=mx+b.
(1 mark)

c)Use your equation in (b) to determine the total cost of 300 flyers.
(2 marks)
Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Answer:

Fixed cost (b) = $300

Variable cost (m) = $0.12

y = 0.12(x) + 300

y = 0.12(300) + 300

y = 36 + 300

y = 336 flyers

Step-by-step explanation:

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We know from Pythagoras' Theorem, a right angle triangle can be identified by the relationship:

a^2+b^2=c^2

Thus, we know if the side lengths of the triangle in question abide by this relation, the triangle is right.

First, we must find the greatest side length.

We know, using the distance formula.

GB= \sqrt{(-35-20)^2 +(20-10)^2} =\sqrt{3125}
BW= \sqrt{(5+35)^2 +(-10-20)^2} =\sqrt{2500}
WG= \sqrt{(20-5)^2 +(10+10)^2} =\sqrt{625}

From this, we know that:
GB\ \textgreater \ BW\ \textgreater \ WG
Therefore, GB would be the hypotenuse of the triangle.
Now we substitute the values for the two shorter lengths and the greater length into the pythagorean theorem:
a^2+b^2=2500+625=3125
c^2=3125
\therefore LHS=RHS
Therefore, this triangle is a right angled triangle

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