Answer:
Average rate of change = 
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change = 
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change = 
= 
= 
Therefore, average rate of change in the given interval is
.
Answer:
Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio--that is, when you divide any pair of the two values, you always get the same number k.
Step-by-step explanation:
2 1/2 + 1 1/16
Adding whole number parts and fraction parts together,
(2+1) + (1/2 + 1/16)
= 3 + (1*8/2*8 + 1/16)
= 3 + (8/16 + 1/16)
= 3 + 9/16
= 3 and 9/16
Answer:
65 servings
Step-by-step explanation:
Larry made 5 batches of punch.
In each batch, she uses the amount of lemon juice = 24 fluid ounces
and the amount she uses of orange juice = 5 pints
Since 1 pint = 16 fluid ounces
∴ 5 pints = 16 × 5 = 80 fluid ounces
Total quantity of punch in each batch = 24 + 80
= 104 fluid ounces
Total quantity of punch in 5 batches = 104 × 5
= 520 fluid ounces
If each serving is 1 cup.
and 1 cup = 8 ounces
He made the number of servings all together = 
= 65 cups
He made 65 servings all together.