The function f(x) = x3 + 4x2 + 2x + 1 is graphed above. Match the intervals in the table with their respective average rates of change for this function.

As a self-employed seamstress, you know that it takes 7 yards of material to make 3 jackets. you bought 15 yards of material to make 7 jackets. did you buy enough material? if not, how much were you over or under?

Fifty students are trying to raise at least 12,500 for a class trip. they have already raised 1,250. how much should each student raise on average in order to meet the goal? write and solve the two step inequality for this problem

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.