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The cost, c, of a health club membership is related linearly to its length in months, m. If a 12-month membership costs $260 and an 18-month membership costs $380, which equation can be used to find the cost of a 30-month membership?

Respuesta :

adioabiola

The equation that can be used to find the cost of a 30-month membership is C = sm + b

How to find equation?

Using the equation of a line

C = sm + b

where,

  • C = Cost of membership
  • m = length of months
  • s = month membership

260 = 12s + b

380 = 18s + b

  • subtract the equation to eliminate b

380 - 260 = 18s - 12s

120 = 6s

s = 120/6

s = 20

Substitute s = 20 into (1)

260 = 12s + b

260 = 12(20) + b

260 = 240 + b

260 - 240 = b

20 = b

Cost of 30-month membership:

C = sm + b

= 20(30) + 20

= 600 + 20

= 620

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