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I NEED SOMEONE WHO IS SUPER SMART! I NEED HELP! PLEASE. I WILL GIVE BRAINIEST!!!!! THIS IS 30 POINTS. PLEASE!!!

Which of the following can be modeled with a linear function? Select all that apply.

a. The cost per visit to a community pool. The neighborhood charges a yearly fee to use the pool.

b. The cost to attend a show at the local theatre. Tickets are $12 each.

c. An endangered species population is decreasing by 15% each year.

d. The distance a bicyclist travels when cycling at a constant speed of 30 mph.

e. The population of a town growing at a constant rate each year.

PLEASE HELP!

Respuesta :

Hey there mate :)

As per question,

Options (a), (b) and (d) are correct.

Proof :-

(a) The cost per visit to a community pool.

Considering x = number of visits to the pool

a = fixed cost of visit.

So, the cost per visit to the pool y will be ax

Therefore, this represents a linear function.

And

The neighborhood charges a yearly fee to use the pool.

Assuming x = number of years

a = fixed fee to use the pool

So the yearly fee to use the pool y will be ax

Therefore, this represents a linear function.

(b) The cost to attend a show at the local theater. Tickets are $12 each.

Let x = number of shows

Let the cost of one show = $12.

Now, the cost of x shows y will be 12x

So, it represents a linear function.

(d) The distance a bicyclist travels when cycling at a constant speed of 30 mph.

Assuming x= time

Speed = 30 mph.

Since the distance (y) is given as:-

Distance = SpeedΓ—time, so,

=> y = 30x

Hence, this also represents a linear function.

Hence, all correct option are proved

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