Linear graphs word problem: cats

Jordan is a cat enthusiast she currently cares for several cats but she just can't say no to adopting another cute little face after moving into a bigger house Jordan started adopting cats at a constant rate the number of cats in Jordan's house see as a function of time since she moved in days t is plotted below so this Jordan she just keeps adopting cat so her house is just getting more and more and more full of cats I guess it's got to stop at some point but for this question they just say she keeps adopting them at a constant rate so let's look at the choices here and see which of these statements is true Jordan had ten cats when she moved so let's see this is time from when she moved in so time equals zero is right when she moved in her house and it does look like yes she had ten cats right where she moved in so that first part of the statement is true and after moving she adopted two cats each day so let's see the rate at which she's adopting cats and I'm gonna find another point on here so we know that the point zero comma 10 is on here so on day zero when time equals zero she already had 10 cats which is seems to be more than enough for for me but let's see how many she gets two so all of these other ones it's hard to read hard to read well it looks like here this is definitely on day 15 on day 15 she had 40 cats so let's see after 15 days when her change in time her change in time was 15 change in time is 15 what was the change in her number of cats well she went from 10 cats to 40 cats so she went up to her change in the number of cats and we could call that Delta C is equal to she went from 10 to 40 her change in cats is 30 so her change in cats over change in time is 30 over 15 or you could say to two cats per unit time per day so it does look like she got two cats per day after 15 days at two cats a day she had 30 more cats she went from 10 to 40 so this statement looks right this one is multiple choice so these other ones probably wrong but let's verify that Jordan had three cats when she moved well that's not true three would have been right around here so that's not right Jordan had ten cats when she moved and after moving she adopted one cat every two days one well that would be half a cat a day and we know that that's not the case you are she adopted two cats a day after 15 days she had 30 cats so this isn't right either Jordan had three cats where she moved well we already know that that's not the case so we noticed the first choice