Question

Kelly sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Kelly's total earnings, y, in dollars, from selling x bars of ice cream:

Ice Cream Sales and Earnings
Number of Bars Sold (x)
Total Earnings (dollars) (y)

(x) (y)
0 50
1 52
2 54
3 56


Which equation best shows the relationship between x and y? (5 points)
 

a. y = 2x + 50

b. y = x + 52

c. y = 2x + 52

d. y = x + 50

Answer 1

If my math is right it would be y = 2x + 50

Answer 2

Answer:
`y=2x+50`

Explanation:

Given: The salary of Kelly is fixed but she earns a commission for each ice cream she sells.

Thus, Her earning will be a linear function dependent upon the number of bars she sold.

Since y represents the total earning of Kelly on selling x bars of ice- cream.

We can see at x=0, y=50

Thus her fixed salary=$50

Then,
`y=mx+50`, where m is the commission she gets for each ice cream.

Also at x=1, y=52.....> put thus in above equation

Then,
`52=m(1)+50\\\Rightarrow\ m=52-50\\\Rightarrow\ m=2`

hence, the equation best shows the relationship between x and y is :-

`y=2x+50`