Question

Why does this data not represent a direct relationship? Time (s) 0 5 10 15 Temperature (°C) 4 10 18 22 A. they both increase B. the products of each variable does not equal a constant C. the quotients of each variable does not equal a constant D. it is an inverse relationship

Answer 1

C. the quotients of each variable does not equal a constant

A direct relationship is a linear relationship where the quotient of the two variables (the slope of the line) is always the same. In this case, the temperature increases by 6°C every 5 seconds. The quotient of the temperature and time does not remain constant, so this data does not represent a direct relationship.