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7.03 Intersections of linear graphs

Interactive practice questions

Match the graph to the correct statement:

a

Loading Graph...

The cost per unit is less than the revenue per unit.

A

There is no break even point for this venture.

B

The fixed cost for this venture is $\$0$$0.

C
b

Loading Graph...

Total revenue exceeds total cost after $5$5 units.

A

The fixed cost for this venture is $\$0$$0.

B

There is no break even point for this venture.

C
Medium
< 1min

The cost of manufacturing car parts ($C$C) is related to the number of car parts produced ($n$n) by the formula $C=6000+4n$C=6000+4n. The revenue ($R$R) made from selling $n$n car parts is $R=8n-2000$R=8n2000.

Medium
6min

Consider the following phone plans:

GO SMALL plan: This plan has a $\$20$$20 monthly base charge and charges $90$90 cents per minute for all calls.

GO MEDIUM plan: This plan has a $\$26$$26 monthly base charge and then charges $70$70 cents per minute for all calls.

Medium
7min

An electronics manufacturer has developed relationships to describe the cost of creating circuits and the income received from selling them. Cost is represented by the equation $C=80+2x$C=80+2x and income is represented by the equation $I=2.8x$I=2.8x, where $x$x represents the number of circuits.

Medium
5min
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Outcomes

1.3.3.4

interpret the point of intersection and other important features (𝑥 and 𝑦 intercepts) of given graphs of two linear functions drawn from practical contexts [complex]

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