A magazine advertisement states that a subscriber saves 75.6% off the cover price at news stands by purchasing a 17-issue subscription rather than purchasing the 17 issues separately at the cover price. If a 17-issue subscription costs $10.99, what is the average cover price of each magazine when bought at a news stand? Express your answer as a decimal to the nearest hundredth.

Respuesta :

Answer:

$2.65

Step-by-step explanation:

If the 17-issue subscription costs $10.99 and it offers a 75.6% discount from buying all 17 issues separately, buying all 17 issues at a news stand would cost:

[tex]P_{17} = \frac{\$10.99}{(1-0.756)} \\P_{17}= \$45.041[/tex]

Threfore, the price of a single issue is:

[tex]P_{1}=\frac{P_{17}}{17} =\frac{\$45.041}{17}\\P_{1} = \$2.65[/tex]

The average cover price of each magazine when bought at a news stand is $2.65