A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30

Respuesta :

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

  • [tex]CPI_t[/tex] = consumer price index in current period
  • [tex]C_t[/tex] = cost of market basket in current period
  • [tex]C_0[/tex] = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

  • [tex]CPI_t[/tex] = 186
  • [tex]C_t[/tex] = To find
  • [tex]C_0[/tex] = $41.40

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

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