Angharad had an operation costing $500 she was in hospital for x days the cost of nursing care was $170 for each day she was in hospital a) write down, in terms of x, an expression for the total cost of her operation and nursing care. b) the total cost of her operation and nursing care was $2370 work out how many days angharad was in hospital

a) Total cost =

b) 11 days

Step-by-step explanation:

Given:

(a)

Number of days in hospital =

Cost of operation = $ 500

Cost of nursing per day = $170

∴ Cost of nursing for days = $

Therefore, the expression for total cost of her operation and nursing care is given as,

, where is the total cost.

(b)

Given:

Total cost of operation =

Using the expression obtained in (a), we solve for .

Plug in 2370 for C and solve for . This gives,

Therefore, Angharad stayed in hospital for 11 days.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: