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Lynda-Anne uses PPC (pay-per-click) ads to market GIB wall & ceiling linings to kitchen and bathroom renovators. In evaluating which websites to display these ads on a lot of maths is used; cubics, curve fitting, calculus and more. Linear equations, power curves and logarithms. Also sequences and series. A good mathematics workout!
This mathematics poster is sponsored by GIB as part of their community services. So for a limited time free A1 size copies (printed with $ signs for currency) are available - one free copy with every other purchased Mathsoul poster from any series. Normal handling & shipping charges apply.
Most 12 year old students will be able to handle the first question which involves dividing 'weekly advertising cost' by 'requests received each week' to get cost-per-request.
Question two uses three weeks of supplied data to generate the linear equation of y (cost-per-request) in terms of x (requests-per-week). These allow calculation of cost-per-request at a response level of 260 requests per week.
Question three addresses the position a week later, with another set of data points available. Curve fitting with a statistics calculator is needed for a power curve, logarithmic curve and a cubic polynomial.
Question four uses the equations developed in question 3 to consider which single website will deliver the lowest cost-per-request at the 260 request level. And for those with calculus skills (or another approach) which combinations of websites would give the lowest cost.
Wes Williamson a mathematics teacher at KingsWay School in New Zealand, and previously in Canada has provided mathematics education consulting for this poster.
Lynda-Anne, as pictured, at time of poster production is a marketer at GIB with responsiblity for direct response marketing, including use of PPC advertising. Actual data has been adjusted to protect commercial interests, and to maximise learning opportunity.
Lynda-Anne's Student Discussion Forum - for students to register, then post answers and constructive comments.
The sponsor of this Mathsoul My-Story poster is Winstone Wallboards Ltd (GIB) plasterboard & drywall manufacturers and distributors in New Zealand (www.gib.co.nz) - meeting the cost of design, and the printing of a quantity of A1 size copies to be distributed with other purchased Mathsoul posters, for use in secondary & high schools, and colleges. This poster features one of their current executies, Lynda-Anne.
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