Dwight has a new job that guarantees a six percent raise for each year with the company. His initial salary is $52,000 per year. Which equation models Dwight's salary after t years? A) y = 52,0000.06t B) y = 52,0001.06t C) y = 52,000(0.06)t D) y = 52,000(1.06)t

Respuesta :

Answer:

C) y=52,000(0.06)t would best represent his salary after t years.

Step-by-step explanation:

A is wrong because 520,000.06t would represent 520,000 and 6 cents

B is wrong because Its 52,001. Which isn't the amount he makes.

D is wrong because its multiplied by (1.06) and not (0.06)

The equation that models Dwight salary after t years is y = 52000(1.06)^t

Exponential functions

The standard exponential function is expressed as:

y = a(1+r)^t

From the given information

Initial salary a = 52000

rate = 6% = 0.06

Time = t

Substitute into the formula

y = 52000(1 + 0.06)^t

y = 52000(1.06)^t

Hence the equation that models Dwight salary after t years is y = 52000(1.06)^t

Learn more on exponential function here:

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