Functions defined on intervals
Coupons
The owners of a sports store distributed two coupons
in a local paper:
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$20 off any purchase above $40!
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For each coupon, create a function describing the dependence of price
(after using the coupon) on the regular price.
Use the
Functions on intervals tool.
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Which coupon would you advise a customer to use?
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Since it not specified that it is
prohibited to use both coupons, one customer requested that both coupons be honored for his purchase.
The customer must now decide in which order the coupons should be used:
- Use the "$20 off" coupon first to obtain a $20 reduction on the initial purchase price (assuming it is at least $40), then use
the "20% off" coupon to obtain an additional 20% reduction.
- Use the "20% off" coupon first to obtain a 20% reduction off the initial purchase price,
and then (assuming the price after the 20% reduction is at least $40) use the "$20 off"
coupon for a further $20 reduction.
Use functions to represent the two options for combining the coupons,
and advise the customer which option to choose.
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