The sequence below represents marisa's fine at the library for each day that she had an overdue book: $0.50, $0.65, $0.80, $0.95, $1.10,
which equation represents marisa's library fine as a function of a book that is n days overdue?

Tn = 0.35 + 0.15n

Step-by-step explanation:

From the sequence given, the fine for overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ...

the difference between the 2 consecutive terms

d = T2 - T1 = T3 - T2

= $0.65 - $0.50

= $0.15

Let a = first term = $0.50

      d = common difference between 2 consecutive terms

      n = number of term

T1 = a =  $0.50

T2 = a + d = $0.50 + $0.15

    = $0.65

T3 = a + d + d = a + 2d

= $0.50 + $0.15 + $0.15

    = $0.80

Going by the sequence above

Tn = a + (n-1)d

Tn = 0.5 + (n-1)0.15

Tn = 0.5 + 0.15n - 0.15

Tn = 0.35 + 0.15n

Marisa's library fine as a function of a book that is n days overdue is given as 0.35 + 0.15n

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

b. 2 and 4

step-by-step explanation: