Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?

Angela is 13 years old and Angela's aunt is 41 years old.

Step-by-step explanation:

With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:

x=3y+2, where:

x is Angela's aunt age

y is Angela's age

Also, you know that the total of their ages is 54, which is:

x+y=54

Now, you can replace x=3y+2 in x+y=54 and solve for y:

3y+2+y=54

4y=54-2

4y=52

y=52/4

y=13

Finally, you can replace the value of y in x=3y+2 to find x:

x=3(13)+2

x=39+2

x=41

According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50