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marco has an interest - based advertisement for an investment that trip…

Question

marco has an interest - based advertisement for an investment that triples your money every year. if marco invests the $17 his parents gave him for his birthday, how much money will he have in various years?
(there is a coordinate graph and a table below, the coordinate graph has investment value (dollars) on the x - axis and number of years on the y - axis; the table has columns number of years, investment value (dollars), times larger)

Explanation:

Step1: Identify the doubling pattern

The investment doubles yearly, so the value follows $V(t) = V_0 \times 2^t$, where $V_0=\$17$ (initial investment), $t$ = number of years.

Step2: Calculate for 8 years

Substitute $t=8$:
$V(8) = 17 \times 2^8 = 17 \times 256 = 4352$

Step3: Calculate for 12 years

Substitute $t=12$:
$V(12) = 17 \times 2^{12} = 17 \times 4096 = 69632$

Step4: Calculate for 18 years

Substitute $t=18$:
$V(18) = 17 \times 2^{18} = 17 \times 262144 = 4456448$

Answer:

number of yearsinvestment value (dollars)
1269632
184456448

Additionally, to plot the points on the graph:

  • For 8 years: plot $(4352, 8)$
  • For 12 years: plot $(69632, 12)$
  • For 18 years: plot $(4456448, 18)$

(Note: The provided graph's axis scale is too small to display these values clearly, as the investment grows exponentially.)