The algebraic rules below show the cost, C, for printing n school yearbooks for two different companies,
Speedy Printers: C = 29n
• On-time Printers: C = 100 +25n
If the number of yearbooks ordered is doubled, will the cost double? Provide an answer and justification for each
company

Respuesta :

The cost will double for the speedy printer.

The cost will not double for one-time printer.

Given the cost, C, for printing n school yearbooks for two different companies, expressed as:

Speedy Printers: C = 29n

On-time Printers: C = 100 +25n

If the number of yearbooks ordered is doubled for the speedy printer, the new cost will be;

Cn = 29(2n)

Cn = 58n

Cn = 2(29n)

Cn = 2C

This shows that the cost will double for the speedy printer.

For one-time printer:

On-time Printers: C = 100 +25n

If the number of yearbooks is doubled, the new cost will be expressed as:

Cn = 100 + 25(2n)

Cn = 100 + 50n

Since we can not write the new cost as a function of the original cost, hence the cost will not double for one-time printer.

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