Question

(05.03)Calysta sells used video games. In addition to a fixed salary, she earns a commission for each video game she sells. The table shows Calysta’s total earnings, y, (in dollars), from selling x video games: Video Games and Earnings Games Sold (x) Total Earnings (y) 1 ,78 2 ,86 3 ,94 Which equation best shows the relationship between x and y?

a) y = x + 8
b) y = 8x + 70
c) y = 8x + 78
d) y = x + 78

Answer 1

y=8x+70

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Answer 2

y = 8x + 70

Explanation:

Given :

Games sold (x) Total earnings (y)

1 78

2 86

3 94

Option A : y = x +8

Since we are given that when x = 1 y=78

So verify the option A

78 = 1 +8

78≠9

Hence option A is wrong

Option B : y = 8x + 70

Since we are given that when x = 1 y=78

So verify the option A

78 = 8*1 +70

78=78

For x =2 y = 86

y = 8x + 70

86=8*2+70

86=86

For x =3 y = 94

y = 8x + 70

94=8*3+70

94=94

Hence option B is correct

Option C : y = 8x + 78

Since we are given that when x = 1 y=78

So verify the option A

78 =8* 1 +78

78≠86

Hence option C is wrong

Option D : y = x + 78

Since we are given that when x = 1 y=78

So verify the option A

78 =1 +78

78≠79

Hence option D is wrong

Hence option B shows the best equation shows the relationship between x and y:

y = 8x + 70