The Dippin’ Dots booth sells both regular and large ice cream cups. The prices are shown in the chart. Six Flags charges the Dippin’ Dots company $175 per day for the booth rental. The Dippin’ Dots company sells 45 regular sized ice cream cups one day. If they want to make at least $500 after paying for the booth, what is the least amount of large sized ice cream cups that they must sell? PLS HELP (include equation too pls)

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.