Misumi started with $217 in her bank account. She deposits $25.50 each week and never withdraws any her account balance after w weeks.
Why does the variable w go next to the 25.50 instead of the 217
The variable w is placed next to $25.50 instead of $217 because $217 represents the initial amount that Misumi started with in her bank account. The amount of $25.50 is the amount she deposits each week, which is a repetitive action. The variable w represents the number of weeks she deposits this amount, and it increases each week. Therefore, w is associated with the $25.50 deposit, not the initial amount of $217.
What is the number called next to the variable
The number next to the variable is called the coefficient of the variable. In this case, the coefficient is 25.50.
The expression 9.99d + 12.99c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy 1 1/2 pounds of almonds and 2 1/2 pounds of cashews
To find the total cost of buying 1 1/2 pounds of almonds and 2 1/2 pounds of cashews using the expression 9.99d + 12.99c, we substitute d = 1 1/2 and c = 2 1/2 into the expression and calculate the result.
First, convert 1 1/2 to a decimal: 1 1/2 = 1.5
Then, convert 2 1/2 to a decimal: 2 1/2 = 2.5
Substituting the values into the expression:
9.99(1.5) + 12.99(2.5)
Calculating:
14.985 + 32.475
The total cost to buy 1 1/2 pounds of almonds and 2 1/2 pounds of cashews is $47.46.
The variable w goes next to the $25.50 instead of the $217 because the variable w represents the number of weeks. In this scenario, Misumi is depositing $25.50 into her bank account every week, so the amount she has deposited after w weeks would be $25.50 multiplied by the number of weeks, which is w.
On the other hand, the $217 is the initial amount that Misumi starts with in her bank account. It does not change over time and is not dependent on the number of weeks. Therefore, it remains constant and does not need to be multiplied by any variable.