NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Solve applications involving Rational Functions

Interactive practice questions

Nonosys Corp. wishes to calculate the average cost per item of producing snowboards. The fixed monthly cost of production is $\$200000$$200000 and each snowboard produced costs $\$100$$100.

a

Write an expression for $C\left(x\right)$C(x), the cost in dollars for producing $x$x snowboards in a single month.

b

Write the average cost function, $A\left(x\right)$A(x), of producing $x$x snowboards.

c

Find the number of snowboards that Nonosys Corp. needs to produce each month so that the average cost of production per snowboard is $\$600$$600.

Easy
Approx 5 minutes
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CosmoBot Pty. Ltd. wishes to calculate the average cost per item of producing car batteries. The fixed monthly cost of production is $\$20000$$20000 and each car battery produced costs $\$10$$10.

The average cost function for a certain product is described by some equation

$A\left(x\right)=\frac{P+Cx}{x}$A(x)=P+Cxx

where $P$P is the base cost of production and $C$C is the cost of producing each item.

Consider the fraction $\frac{10}{33}$1033. The numerator is multiplied by certain number and that same number is added to the denominator. The resulting fraction is equivalent to $\frac{5}{6}$56.

Outcomes

M8-7

Form and use trigonometric, polynomial, and other non-linear equations

91575

Apply trigonometric methods in solving problems

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