Chapter 4.2, Problem 14PPE

To determine

Representing the relationship between the teaspoon of powder and the gallon of fertilizer.

Answer to Problem 14PPE

The amount of fertilizer made a function of the amount of powder used.

  $y=\frac{5}{8}x$

Explanation of Solution

Given data:

For making 5gal of liquid fertilizer 8 tsp of powdered fertilizer was used.

Calculation:

Let the gallons of liquid fertilizer be y,

And no of tsp for making it be x.

So for making 5gal of liquid fertilizer 8 tsp of powdered fertilizer was used

For Number of gallons by adding 1 tsp = $\frac{5}{8}$

For x tsp = $\frac{5}{8}x$

Required equation: $y=\frac{5}{8}x$

x	0	1	2	3	4
y	0	$\frac{5}{8}$	$\frac{5}{4}$	$\frac{15}{8}$	$\frac{5}{2}$

As this $y=\frac{5}{8}x$ are having distinct values for different x

So it is a function.

In graph it follow the vertical line test so it is a function.

  

Conclusion:

The amount of fertilizer made a function of the amount of powder used.

  $y=\frac{5}{8}x$