There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. The point (3, 48) is shown in the graph below.

Unit 2 Lesson 14 PP 2 graph

What is the constant of proportionality for this relationship?

Explain or show your reasoning.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

What happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?

Can someone factor this fully? my friend and i have two different answers and i would like to know if either of them is right. you in advance. a^2 - b^2 + 25 + 10a