Question

#6) Beth saved a total of $30 per month for her first car. Beth saved

money for 20 months and opened her account with $100. What is the

domain and range of the situation representing the amount of money

Beth saved in respect to time she saved? Write your answer in

interval notation.

D:




R:

Answer 1

Answer:

1) The domain In interval notation is [0, 20]

2) The range in interval notation is [100, 700]

Step-by-step explanation:

The given parameters are;

The amount Beth saved per month = $30

The number of months Beth saved = 20 months

The amount with which Beth opened her account = $100

Therefore, the amount of money Beth saved with respect to time is given as follows;

Y = $100 + $30 × X

Where;

Y = The amount of money Beth saved

X = The time (number of months) Beth saved

The domain is given as follows;

$\{X | \ 0 \leq X \leq 20 \}$

The domain in interval notation is [0, 20]

For the range, when X = 0, Y = $100

When X = 20, Y = $100 + $30 × 20 = $700

Therefore, the range is given as follows;

$\{Y | \ 100 \leq Y \leq 700 \}$

Which the range in interval notation is [100, 700].