Question

Alex has saved $720, and every month he saves an additional $80. Jax has saved $480, and every month he saves an additional $120. Write, and then solve, the inequality to determine how many months it will take for Jax to have saved over $160 more than Alex.

Answer 1

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Answer:

  more than 10 months

Step-by-step explanation:

Alex's balance starts at 720 and increases by 80 each month. It can be represented by ...

  A = 720 +80m

Jax's balance starts at 480 and increases by 120 each month. It can be represented by ...

  J = 480 +120m

Jax's balance will be more than 160 more than Alex's when ...

  J -A > 160

  (480 +120m) -(720 +80m) > 160

  40m -240 > 160 . . . . . . . . . . . . . collect terms

  m -6 > 4 . . . . . . . . . . . . . . . divide by 40

  m > 10 . . . . . . . . . . . . add 6

It will take more than 10 months for Jax to have saved over $160 more than Alex.