The greens want to put an addition on their house 18 months from now. they will need to save $10,620 in order to achieve this goal. they set aside the same amount each month, and after a year discover they have saved $6,120. the greens must adjust their plan in order to meet their goal, so they came up with the following options: option a: stay with saving the original amount each month but put the addition on one month later than originally planned. option b: increase the amount of money they save each month by $120 from their original plan. which of the following statements is true? a. only option a will allow them to meet their goal. b. only option b will allow them to meet their goal. c. both options a and b will allow them to meet their goal. d. neither option a nor option b will allow them to meet their goal.

b. Only option B will allow them to meet their goal.

Step-by-step explanation:

The Greens want to put an addition on their house 18 months from now.

They will need to save $10,620 in order to achieve this goal.

They set aside the same amount each month, and after a year discover they have saved $6,120.

Part A:

They saved $6120 in 12 months.

So, each month they saved = dollars

Now, if they save $510 for 19 months, they will save total = dollars

This amount is less than what the family needs to save.

Part B:

Increasing the amount of money they save each month by $120,

=>

Now after 18 months, they would have saved;

dollars

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We can see that Only option B will allow them to meet their goal.

21

step-by-step explanation:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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