Question

The tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years? $60 $80 $90 $100

Answer 1

80

Explanation:

Answer 2

(1) For x = –12, g (x) = -9

For x = –9, g (x) = -3

For x = –6, g (x) = 3

For x = –3, g (x) = 9

(2) The principal amount of money is $80.

Explanation:

(1)

The expression of g (x) is,

`g(x)=2x+15`

The complete table is:

x g (x)

-15
`2(-15)+15=-15`

-12
`2(-12)+15=-9`

-9
`2(-9)+15=-3`

-6
`2(-6)+15=3`

-3
`2(-3)+15=9`

0
`2(0)+15=15`

(2)

The formula for simple interest is:

`I=P* r* t`

Given:

I = $40

r = 10%

t = 5 years.

Compute the value of P as follows:

`I=P* r* t`

`P=(I)/(r* t)`

`=(40)/(0.10* 5)\\\\=80`

Thus, the principal amount of money is $80.