Sara wants to buy diapers online. She is considering two different diaper delivery services. The first store charges $45 per case and the delivery charge is $25.
The second store gives the total price (P in dollars) as a function of the number of cases (c ) as
P = 35 + 30c.
Which of the following statements are true about the two stores? Select all that apply.
The first store charges more per case than the second store.

The rate of change for the first store is greater than the rate of change at the second store.

If I need to buy 10 cases of diapers, I will get them cheaper from the second store.

Initially, the first store will be cheaper but over time, the second store becomes cheaper.

The y-intercept of the second store is greater than the y-intercept of the first store.