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Eric has a gift card to his favorite restaurant. Every Tuesday he has the same meal at the restaurant. This table shows the balance of money in dollars left on Eric’s gift card at different times. Time (weeks) 2, 4 ,6 ,8 Balance ($) 125, 100, 75, 50 What is the equation that represents Eric’s gift card balance, where x represents the time and y represents the balance?

Respuesta :

y-100= -12.5 (x-4) hope this helps :)
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Expressing the equation in slope - intercept form. The equation which represents the gift card balance is y = - 12.5x + 150

Slope - intercept equation = y = bx + c

The slope, b :

  • (50 - 125) ÷ (8 - 2) = - 12.5

We can obtain the intercept, c :

Taking a pair of (x, y) points :

  • (8, 50)

50 = - 12.5(8) + c

50 = - 100 + c

c = 50 + 100

c = 150

Hence, the equation can be represented thus :

  • y = -12.5x + 150

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