Question

Matthew has recorded the amount he's saved every three months. Months Savings 3 $1,800 6 $3,600 9 $5,400 Christopher saves $550 every month. Assume that Matthew and Christopher both save money at constant rates. Whose unit rate is higher, and by how much? A. Christopher's savings per month is higher than Matthew's savings per month by $50 per month. B. Matthew's savings per month is higher than Christopher's savings per month by $50 per month. C. Christopher's savings per month is higher than Matthew's savings per month by $100 per month. D. Matthew's savings per month is higher than Christopher's savings per month by $100 per month. E. Matthew and Christopher both save the same amount, $550 per month.

Answer 1

Matthew saves $600 per month and Christopher saves $550 per month. Matthew's unit savings rate is higher than Christopher's by $50 per month. The correct choice is D.

Step-by-step explanation:

To determine whose unit rate of savings is higher, we need to calculate the monthly savings rate for Matthew and compare it to Christopher's monthly savings. According to the data provided, Matthew has recorded the following amounts saved over three months: 3 months - $1,800, 6 months - $3,600, 9 months - $5,400. To find Matthew's monthly savings rate, we divide the amount saved by the number of months. For example, at 3 months, $1,800 ÷ 3 months equals $600 per month.

Christopher saves $550 every month. Comparing the two rates, Matthew's monthly savings of $600 is higher than Christopher's savings rate of $550 per month.

Therefore, the correct answer is D. Matthew's savings per month is higher than Christopher's savings per month by $100 per month.