Koumani N. answered • 9d

Math and Chemistry High School Tutor, SAT/ACT Math & English

For this question, we are looking for the relationship between y and b. One way to answer this question look at the pattern and notice that as b increases by 1, y increases by 6. Since y increases at a rate 6x faster than b, then we know y = 6b (answer choice c)

To solve this in a more mathematical and consistent way, we can use the formula y = Mx + B where x and y are the variables, m is the slope of the line, and B is the y-intercept of the line (note that for the purposes of question we will be substituting x with b and the B that represents the y-intercept is not the same as the b that represents blue paint).

The ratio between the blue and yellow paint can be found by solving for M. The formula for M, the slope, is as follows: M = (y_{2} - y_{1})/(b_{2} - b_{1}) where two points on the line are (b_{1}, y_{1}) and (b_{2}, y_{2}). Given this information, we can take any two points from the chart an plug them into the formula. For example, if I choose the first two points of (1,6) and (2,12), I would solve for (12-6)/(2-1) = 6/1 = 6. Therefore, I know that y = 6b