Name: _____________________________ Date: ___________ Period:_______ Learning Targets I can identify direct proportions. I can recognize that a constant of proportionality can be a unit rate. NOTES: 5.1 Day 2: Identifying Direct Proportions from an Equation 𝑦 = 𝑘𝑥 y is directly proportional to x and k is the constant of proportionality Today we will be determining direct proportions based on equations. Our goal is to get the equations to look like the one above so we can easily find the constant of proportionality (if it is a direct proportion). If we can’t write the equation in the form y = kx then it is not a direct proportion and there is no constant of proportionality. Examples: Determine if each of the following equations represent a direct proportion. If so, determine the constant of proportionality. !
b. 𝑦 − 2 = 5𝑥 a. 𝑦 = 3𝑥 !
c. 0.4y = x d. 5y + 2y = 7