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As spring has sprung, Thomas decides to over seed his lawn. After 3 weeks of spreading grass there are 5,250 blades of grass. After 7 weeks there are 5,952 blades of grass. Write an equation to represent this situation.

Sagot :

Mhanifaidn

Answer:

  • y = 175.5x + 4723.5

Step-by-step explanation:

Use the pairs of values as coordinates and make a linear equation based on this.

  • y = mx + b,  the linear equation in slope-intercept form

The pairs are (3, 5250) and (7, 5952).

Find the slope:

  • m = (5952 - 5250)/(7 - 3) = 702/4 = 175.5

Find the y- intercept:

  • 5250 = 3*175.5 + b
  • 5250 = 526.5 + b
  • b = 5250 - 526.5
  • b = 4723.5

The equation is

  • y = 175.5x + 4723.5

y - blades of grass after x weeks, x - number of weeks passed since spreading the grass

Let weeks be x and blades be y ,form two coordinates

  • (3,5250)
  • (7,5952)

Find slope

  • m=5952-5250/7-3
  • m=702/4=351/2

Equation in point slope form

  • y-5250=351/2(x-3)
  • y-5250=351/2x-1053/2
  • y=351/2x-1053/2+5250
  • y=351/2x+9447/2
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