Question

The Fabulous Fish Market orders tilapia, which costs $3 per pound, and salmon, which costs $5 per pound. The market plans to spend exactly $210 on this order each day. Now, graph the solutions from the matching question.

Connect them using the straight line tool to show the linear relationship.

Answer 1

The line represents the combinations of tilapia and salmon orders that cost exactly $210. Any point on the line is a valid solution.

Let x be the pounds of tilapia and y be the pounds of salmon ordered. The total cost (T) for the order is given by:

T = 3x +5y

The market plans to spend exactly $210, so:

T = 3x +5y = $210

To graph this linear equation, rearrange it into slope-intercept form (y=mx+b):

5y= -3x +210

So, y = -
`(3)/(5)` + 42

Now, you can plot this line on a graph. The slope (m) is -
`(3)/(5)`, and the y-intercept (b) is 42.

1. Plot the y-intercept at (0, 42).
2. Use the slope to find another point. For example, move 5 units to the right (because the denominator of the slope is 5) and 3 units down (because the numerator is -3) from the y-intercept. This gives you another point on the line.
3. Connect the two points with a straight line.
4. This line represents the combinations of tilapia and salmon orders that cost exactly $210. Any point on the line is a valid solution.