Which of the following can be modeled with a linear function? select all that apply. the cost per visit to a community pool. the neighborhood charges a yearly fee to use the pool. the cost to attend a show at the local theatre. tickets are $12 each. an endangered species population is decreasing by 15% each year. the distance a bicyclist travels when cycling at a constant speed of 30 mph. the population of a town growing at a constant rate each year.

answer: option (1), (2) and (4) can be modeled with a linear function.

explanation:

since a linear function is always a type of f(x)= a+bx, where a and b are fixed constant.

option (1)   the cost per visit to a community pool.

let a is the fixed cost for a visit. and, x represents number of   visit. while   y represents total cost of x visit then the linear function y=ax+0

option (2) the neighborhood charges a yearly fee to use the pool.

let a is the fixed fee for a year. and, x represents number of   years. while   y represents total fees for x year then the linear function y=ax+0

option (2) the cost to attend a show at the local theatre, tickets are $12 each.

here, the cost of one ticket is $12 . and, x represents number of shows. while   y represents total cost for x shows then the linear function y=12x+0

option (4) the distance a bicyclist travels when cycling at a constant speed of 30 mph.

since, distance= speed×time

here speed= 30 m/h

if x represent time while y represent distance,

then linear function, y=30x+0

note: in option(3) and (5) there is no constant change therefore they can not represent the linear function.

answer: i'm great at algebra

~coco

step-by-step explanation:

is there a picture

step-by-step explanation: