W = 6t+90 represent the relationship between weight and number of months.
Step-by-step explanation:
Given,
Weight of wrestler = 90 kilograms
Weight after 8 months = 138 kilograms
Let,
x be the weight gained each month.
Weight of wrestler + Number of months*Weight gained each month = Weight after 8 months
[tex]90+8x=138\\8x=138-90\\8x=48\\[/tex]
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{48}{8}\\x=6[/tex]
Therefore, the wrestler gained 6 kilograms each month.
W = weight of wrestler
t = number of months
Total weight = Weight before diet + Weight gain each month*Number of months
W = 90+6t
W = 6t+90
W = 6t+90 represent the relationship between weight and number of months.
Keywords: division, equation
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