Question

Jessie works as a salesman. He earns a daily wage of 250 pesos and an additional

10 pesos for every 3 pieces of cell phone sold. If x represents the number of cell

phones sold, write the function for his daily earning (y) as a function of the number

of cell phones sold (x).

Answer 1

Answer:

$y = 250 + \frac{10x}{3}$

Step-by-step explanation:

Given

$Daily\ Wages = 250$

$Additional = 10$ for every 3

Required

Determine the function that represents Jessie's daily earnings:

From the question, we have that:

y = earnings

x = phones

If for 3 phones, he gets 10.

i.e.:

3 pieces = 10

then

$1\ pieces = \frac{10}{3}$ ----- By dividing both sides by 3

and

$x\ pieces = \frac{10x}{3}$ ----- By multiplying both sides by x

The above expression represents the additional earnings for x phones

So, daily earnings y is calculated as :

$y = Daily\ Wages + Additional\ Earnings$

$y = 250 + \frac{10x}{3}$

Answer 2

The function representing his daily earning (y) as a function of the number  of cell phones sold (x) is y = (10/3)x + 250.

A linear equation is given  by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of cell phones sold and y represent the daily earnings.

Since he has a daily wage of 250 pesos, hence b = 250. Also he makes additional  10 pesos for every 3 pieces of cell phone sold, hence m = 10/3.

The equation becomes:

y = (10/3)x + 250

Therefore the function representing his daily earning (y) as a function of the number  of cell phones sold (x) is y = (10/3)x + 250

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