In a dorm meal plan, you pay a membership fee; then all your meals are at a fixed price per meal. a. If 100 meals cost $1125 and 160 meals cost $1440, write a linear function that describes the cost of a meal plan, c, in terms of the number of meals, n, Write your equation in slope-intercept form. b. What is the cost per meal and the membership fee? c. What is the cost for 140 meals? I'm totally lost. My teacher doesn't explain things in full detail and expects us to do it right, and I'm slow at catching on.

Simplify. (-2)^-3 a. -8 b. -1/8 c. 1/8 d. 8

I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.