A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag (16 ounces) of this trail mix?

x = 9 1/3 ounces of almonds

Step-by-step explanation:

Ounces of almonds : raisins

= 7 : 5

Total = 7 + 5

= 12

How many ounces of almonds would be in a one-pound bag (16 ounces) of this trail mix

Let

x = Ounces of almonds needed

x = 7 /12 × 16

= 112 /12

= 9 4/12

= 9 1/3

x = 9 1/3 ounces

  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).

step-by-step explanation: