A: Table 1: f(x) = 8x X= cups so ounces = 8* # of cups Table 2: f(x) =16x X= pints so ounces = 16*# of pints Table 3: f(x)= 32x X= quarts so ounces= 32*# of quarts Note: another way instead of f(x)=kx is y=kx B: Depending on the slope we can easily find which is the steepest slope by easily comparing the slopes and seeing which is greater. T1: 8 T2: 16 T3: 32 So, looking at our slopes, table 3 has the greatest slope because it has the greater slope out of the other two. C: The phrase, "rate of change" is another way to say the slope. To list again, T1: 8 T2: 16 T3: 32 The table with the smallest slope would be table 1 since it is less than the other two tables.
I hope that helps, if you need any more assistance or you have any questions, please feel free to ask!!
