Mathematics
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AM2
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- When
applying a function, the procedure follows the idea of Input –
Process – Output.
The cost of staging a preschool concert was calculated using the formula C = 80 + 3n, where C is the cost and n is the number of students involved.
Which variable is considered to be the input for this scenario?
- The dependent variable in a linear model is w and the independent variable is b. If the gradient of the line representing this model is 2, the equation could be:
- The
linear function representing the cost, C, of an excursion for a
number of students, n, was given as C = 4.5n + 50.
To graph this by first creating a table of values, the table could be:
- To find the gradient of the line AB, Rita measured AC as 3 mm and BC as 4 mm.
The gradient would be:
- This graph shows the cost of producing boxes of fudge to sell for charity.
The gradient of this graph is 5. This gradient represents:
- This graph shows the cost of producing boxes of fudge to sell for charity.
The graph meets the vertical axis at 13 in an open circle. This value of 13 represents:
- A sketch of the graph y = -2x + 1 would look like:
- This graph shows that the cost, C, of a holiday varies directly with the distance, d, from home.
If the cost of travelling 630 km is $90 the equation of this graph
- This graph shows that the cost, C, of a holiday varies directly with the distance, d, from home. The cost of travelling 630 km is $90.
For a cost of $840 you could travel:
- This is a graph of the distance travelled by Priya on her way to school.
The section AB represents:
- A suburban car park has the following parking rates:
| Time | Cost |
|---|---|
| Up to 1 hour |
Free
|
| More than 1 hour and up to 2 hours |
$5
|
| More than 2 hours and up to 3 hours |
$9
|
| More than 3 hours |
$12
|
When using this table of data to graph Cost against Time, the
type of graph produced is called:
- When representing some physical phenomena as a linear function(such as shoe size against age) there are often limitations to the model produced because:
- This represents a little pocket graph that a group of year 12 students took with them to Bali after the HSC. It converts the currency in Bali (Rupiah) to Australian dollars.
This graph uses the conversion rate of 5000 Rupiah to the dollar
which is a reasonable approximation.
The students are offered a great deal on an excursion to other
islands for 425 000 Rupiah.
What is this approximately equivalent to in Australian dollars?
- This is a travel graph representing two cars travelling between Taree and Maitland.
The point where the two lines cross shows where:
- When using a pencil and ruler to sketch a line of best fit for the scatter plot below, you should just use your ruler to get the general trend of the gradient of the line and:
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