Question

Then value of gold is appreciating 18% every hour you were lucky enough to have gold coin which was worth $40 at the beginning of the crisis write an equation that will represent y, the value of gold, after x hours

Answer 1

Answer:

The equation is  $y=40(1.18)^{x}$

Step-by-step explanation:

The exponential growth equation is  $y=a(1 + r)^{x}$ , where

• a is the initial value (value y at x = 0)
• r is the rate of increasing in decimal

∵ The value of gold is appreciating 18% every hour

∴ r = 18%

∵ 18% = $\frac{18}{100}$ = 0.18

∴ r = 0.18

∵ The gold coin was worth $40 at the beginning of the crisis

∴ The initial amount is $40

∴ a = 40

∵ y represents the value of the gold after x hours

∴ $y=a(1+r)^{x}$

- Substitute the values of a and r in the form above

∴ $y=40(1+0.18)^{x}$

∴ $y=40(1.18)^{x}$

The equation is  $y=40(1.18)^{x}$