Is 200% the same as twofold and 300% the same as threefold?

Matt has $200 in his bank checking account. Each month he deposits $300 into his account. Matt is saving up?

  • Matt has $200 in his bank checking account. Each month he deposits $300 into his account. Matt is saving up for a used car that costs $4200. A. Look at the algebraic equations below. Which equation can be solved to find out the number of deposits Matt needs to accumulate more than $4200? (1 point) 200x + 300 > 4200 300x + 200 > 4200 200x + 300 < 4200 300x + 200 < 4200 B. Solve, using algebraic transformations, the equation that you chose for Part A. (10 points) C. How many deposits does Matt need to accumulate more than $4200? Remember labels

  • Answer:

    A. Matt starts out with $200. Then he adds $300/month for x months. So you need an equation with 300x + 200, which rules out the first and third equations. He needs to end up with more than $4200, so it's 300x + 200 > 4200 B. subtract 200 from each side of the equation 300x > 4000 divide both sides by 300 x > 4000/300 x > 13 1/3 C. Since he's only making deposits on a monthly basis, you have to round up to the next whole number. Matt needs to make 14 deposits.

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By the time he saves up $4200, the car he is looking at will be worth less money. Matt will have to continue to save to pay for his insurance, gas and repairs. Math problems aren't realistic.

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