Fancy goldfish x cost $3 each and common goldfish y cost $1 each. graph the function y=20-3x to determine how many of each type of goldfish tasha can buy for $20.

The pairs of goldfish Tasha can buy for $20 are

Step-by-step explanation:

To find the how many type of goldfish that Tasha can buy for $20 is the set of positive ordered pairs.

Let x denote the number of fancy goldfish.

Let y denote the number of common goldfish.

To find how much goldfish can Tasha buy for $20 is to substitute the value for x in the equation

Now, substituting in , we get,

The ordered pair is

Similarly, substituting ,

For ,

For ,

For ,

For ,

For ,

Thus, the pairs of goldfish Tasha can buy for $20 are

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

you just switch the numbers basically so it would be 3/17