For Erin, the graph shows 10 pounds of sugar are used for every 30 cups of tea.
For Lucia, we can let x=3 and we find 3 pounds of sugar are used for 10·3 = 30 cups of tea.
For the same number of cups of tea (30), Erin uses 10 pounds of sugar and Lucia uses 3 pounds of sugar.
Erin uses sugar at a higher rate.
When 2 lines are coinciding, this means its the same line.
One equation is simply a multiple of the other.
8x = 4x*2
This means the multiplier is 2
5y*2 = 10y
8*2 = 16
The missing values are 10y and 16
Answer:
A.
Step-by-step explanation:
Graph B must be incorrect as this is a directly proportional relationship. Likewise, graph C shows an inversely proportional relationship.
Between graph A and D, only graph A passes through the origin, which is true because if length is zero, perimeter is zero.
Hence the answer is Graph A.
Step-by-step explanation:
Since there is a common difference of one, this is an arithmetic sequence of the form a(n)=a+d(n-1) which in this case is:
a(n)=15+1(n-1)
All arithmetic sequences have a sum which is equal to the average of the first and last terms time the number of terms, mathematically:
s(n)=(2an+dn^2-dn)/2 (that is just the result of ((a+a+d(n-1))(n/2)) )
Since a=15 and d=1 this becomes:
s(n)=(30n+n^2-n)/2
s(n)=(n^2+29n)/2 so
s(10)=(100+290)/2
s(10)=195 logs
