c. Explain the mistake that Clare made when drawing her diagram. Clare drew the diagram below to match the equation 2x + 16 = 50, but she got the wrong solution. a. What value of x matches this diagram? answer = 32
The mistake that Clare made when drawing her diagram is that she did not correctly represent the equation 2x + 16 = 50. The figure she drew shows two parallel lines intersected by a transversal, with the segments labeled as 2x and 16. However, the segments on Clare's diagram are not in the correct proportion to represent the equation.
To correctly represent the equation 2x + 16 = 50, Clare should have drawn a straight line labeled as 2x, starting from one end of the line labeled as 16, and extending to the other end, representing the number 50. The proportion of the diagram should be such that the length of the 16 segment is less than the length of the 2x segment, as 16 is smaller than 50.
Based on the correct diagram, the value of x that matches this equation is 32. This means that when x is equal to 32, the equation 2x + 16 = 50 is true.