Answer:
Step-by-step explanation:
In direct proportion, as the first variable increases (decreases), the second variable also increases (decreases). In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation
In this equation, y and x are the two directly proportional quantities and k is a proportionality constant that tells you exactly how they are related (like 10 cents/piece above). On a graph, a direct proportion will look like a straight line and the slope of the line will be equal to the constant k
Given:
The table of values.
To find:
The equation of the exponential function represented by the table.
Solution:
The general form of an exponential function is
...(i)
where, a is initial value and b is growth factor.
From the given table it is clear that the function passes through (0,3) and (1,1.5). So, the must be satisfy by these points.
Putting x=0 and y=3 in (i), we get
Putting a=3, x=1 and y=1.5 in (i), we get
Putting 
and 
in (i), we get
Therefore, the required equation for exponential function is .
Answer:
I believe it’s x but i’m not 100% sure. hope this helps :)
Step-by-step explanation:
Answer:
1,680 grams
Step-by-step explanation:
To solve this, we can create a proportion using this setup:
grams/people=grams/people
The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.
480 grams/4 people=x grams/14
480/4=x/14
Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
She needs 1,680 grams of couscous for 14 people.
Answer:
-3x-6
Step-by-step explanation:
distribute the -3
