Answer:
Step-by-step explanation:
Given
Required
Determine the area in terms of time
From the question, we have:
-> radius per time
and
--> area from radius
The interpretation of the question is to find the composite function: a(t)
If , and , the
Substitute 0.5t for r
Answer:
3 oatmeal muffins
Step-by-step explanation:
First, subtract the 5 muffins she dropped from the total:
73 - 5
= 68
Then, divide this by 13:
68/13
= 5.23
We need a whole number of muffins in each container, so round this down to 5.
This means that there can be 5 muffins in each of the 13 containers.
Find how many will be leftover:
5(13)
= 65
68 - 65
= 3
So, there will be 3 oatmeal muffins left
Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
