The ratio of quarters to dimes is not still 5 : 3
<u>Solution:</u>
Given that ratio of quarters to dimes in a coin collection is 5:3 .
You add same number of new quarters as dimes to the collection .
Need to check if ratio of quarters to dimes is still 5 : 3
As ratio of dimes and quarters is 5 : 3
lets assume initially number of quarters = 5x and number of dimes = 3x.
Now add same number of new quarters as dimes to the collection
Let add "x" number of quarters and "x" number of dimes
So After adding,
Number of quarters = initially number of quarters + added number of quarters = 5x + x = 6x
Number of dimes = initially number of dimes + added number of dimes
= 3x + x = 4x
New ratio of quarters to dimes is 6x : 4x = 3 : 2
So we have seen here ratio get change when same number of new quarters and dimes is added to the collection
Ratio get change from 5 : 3 when same number of new quarters and dimes is added to the collection and new ratio will depend on number of quarters and dimes added to collection.
Answer:
Step-by-step explanation:
If x is the starting quantity, then 13x would be equivalent to 1300% of x.
We have that
for x=1
f(x)=1.5 and g(x)=-1
so
g(x) < f(x)
for x=2
f(x)=5 and g(x)=5
so
g(x)= f(x)
for x=3
f(x)=9.5 and g(x)=23
so
g(x) > f(x)
therefore
the answer is
<span>After x=2 function g exceeds function f</span>
The perpendicular line to x-6y=2, and passing through (2, 4) is y=-6x+16
