The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.
minutes 500 750 1,000 1,250 1,500
total monthly cost (in dollars) $62 $77 $92 $107 $122
choose the correct linear model that represents the total monthly cost as a function of time.
y = 0.06x + 500
y = 16x + 32
y = 62x + 16
y = 0.06x + 32

answer:

d. 0.06x + 32

step-by-step explanation:

it needs high-low method of cost to determine variable and fixed cost, and then find the cost function.

given,

highest activity = 1500 minutes

lowest activity = 500 minutes

higest cost = $122

lowest cost = $62

we know, variable cost under high-low method = (highest cost - lowest cost) / (highest activitiy - lowest activity)

therefore, variable cost = $(122 - 62)/(1500 - 500) minutes

variable cost = $60/1000 = $0.06

fixed cost = total cost in highest activity - variable cost per minute * highest activity

fixed cost = $122 - ($0.06*1500)

fixed cost = $122 - $90 = $32

therefore, liner cost function = variable cost per minute * fixed cost

y = 0.06x + $32

therefore, d is the answer.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

c

step-by-step explanation:

i think because what else can be a sample of every member