Dave is making cookies. He mixes flour, butter and sugar in the ratio 6:4:1
Dave uses 160 grams of butter.
Work out how much flour and sugar Dave uses.

240 grams of flour and 40 grams of sugar.

Step-by-step explanation: I used the rule of three to calculate the values for the flour and sugar. The common ratio that these numbers have would

be 40.

Reasoning: If the ratio is 6:4:1, then you can apply it as a rule of three. If 160 relates to 4, then x (the value of flour) will relate to 6. 160/4 = x/6, cross multiply, and x = 240. The amount of flour is 240 grams. Using the same logic, you can set another rule for the amount of sugar (represented by variable s); 160/4 = s/1. Cross multiply, and s = 40. The amount of sugar is 40 grams.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).