2.  The steps to follow to solve a problem with direct variation: 1. Write the equation: y = kx 2. Substitute for x and y 3. Solve for k 4. Rewrite the equation substituting the value of k as the constant

3. 1. Write the equationy = kx 2. Substitute for x and y7 = k(35) 3. Solve for k7/35= k, or k = 1/5 4. Rewrite the equation with k y = 1/5x as the constant

4.  y = cost; x = number of hours 1. y = kx 2. 14.40 = k(30) 3. 14.40/30 = k, or k = 0.48  Equation: y = 0.48x

6.  A manufacturer can create 6578 bolts in two hours. How many bolts can they create in 5 hours? › Determine: What value is our x? Why?

7. 5. Follow the steps above:  y = kx  6578 = k(2)  6578/2 = k or 3289  y = 3289x Solve the equation for the new y: y = 3289(5) y = 16,445 The machine can make 16,445 bolts in 5 hours.