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Henry records how many days he rides his bike and how far he rides each week. He rides the same distance each time . He rode 17 miles in 3 days, 24 miles in 4 days and 42 miles in 7 days Write and solve an equation to find how far he rides his bike in 10 days.

Respuesta :

64 miles cuz he would take the shorter way

thaovtp1407

Answer:

60 miles

Step-by-step explanation:

a. Find the equation

Given:

  • 3 days : 18 miles
  • 4 days : 24 miles
  • 7 days:  42 miles

Let y is the number of miles Henry can drive (dependent variable)

Let x is the number of days Henry can drive (independent variable)

The standard form of the equation is:

y = mx + b where m is the slope of the function

We know the slope is:

m = [tex]\frac{y2 -y1}{x2 -x1}[/tex] = [tex]\frac{24 -18 }{4-3}[/tex] = 6

=> y = 6x + b

To find b, we substitute 4 days : 24 miles into the above function:

24 = 6*4+ b

<=> b = 0

=> y =  6x

b.  How far he rides his bike in 10 days.

Let x =10, we have y = 6*10 = 60 miles

Hope it will find you well.

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