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i. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?



ii. How much will be in their accounts?

i After how many weeks will Jennifer and William have the same amount of money in their bank accounts ii How much will be in their accounts class=

Respuesta :

mhanifa

Answer:

  • 5 weeks
  • $100

Step-by-step explanation:

Part i

Jennifer's account:

  • f(x) = 10x + 50

William's account can be expressed as:

  • g(x) = 14x + 30

Because the rate of change is 14 and y-intercept is 30

They will be same after x years, f(x) = g(x)

  • 10x + 50 = 14x + 30
  • 14x - 10x = 50 - 30
  • 4x = 20
  • x = 5

The accounts will be same after 5 weeks

Part ii

The amount in the accounts after 5 weeks:

  • f(5) = g(5) = 10*5 + 50 = $100

Answer:

5 weeks

Step-by-step explanation:

Find the equation of willam's account:

1. find rate x1-x2

44-30      plug in

14 =rate  30=y-intercept     starting valuse is always intercept

44+14=58       check

f(x)= 10x+50

f(x)= 14x+30     solve

10x+50=14x+30   set values together

20=4x        subtract 10x and 30 from both sides

x=5

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