Belinda wants to invest $1000. The table below shows the value of her investment under two different options for three different years:Number of years1
2
3
Option 1 (amount in dollars)
1100
1200
1300
Option 2 (amount in dollars)
1100
1210
1331

Part A: is option 1 a linear or exponentiak function? Explain your answers.

Part B: is option 2 a linear or exponentiak function? Explain your answers.

Part C: write the appropriate function for each option.

D: Find the value of Belinda's investment after 20 years for each option (show your work)

E: Based on your results for part D which option should Belinda choose for her investment? Explain your reasoning

Respuesta :

Answer:

Step-by-step explanation:

A:

We can see that it's increasing by a constant amount (100 each year), therefore it's linear.

B:

We can see that this one is increasing by 10% each time, therefore it's exponential

C:

t=year

fund A (using the simple interest formula): 1000(1+.1t)

Fund B (using compound interest formula): 1000(1.1)^t

D:

t=20

Fund A: 1000(1+.1*20)=3000

Fund B: 1000(1.1)^20=6727.5

E:

She should choose fund B because it will grow at a faster rate than fund A.

Belinda should choose fund B because it will grow at a faster rate than fund A.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Belinda wants to invest $1000.

Number of years        1                 2                   3

Option 1                    1100         1200             1300

(amount in dollars)  

Option 2                    1100         1210             1331

(amount in dollars)

A. We can see that option 1 is increasing by a constant amount (100 each year), therefore it's a linear function.

B. We can see that option 2 is increased by 10% each time, therefore it's exponential function.

C. t=year

Fund A (using the simple interest formula)=  1000(1+.1t)

Fund B (using compound interest formula) = 1000(1.1)^t

D. t=20

Fund A =  1000(1+.1 x 20) = 3000

Fund B =  1000(1.1)^20 = 6727.5

E. Belinda should choose fund B because it will grow at a faster rate than fund A.

Learn more about function;

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