Question

Sam earns $500 per week plus $25 for every trinket he sells. Let M represent the amount of money he made in a certain week, and T represent the number of trinkets that he sold that week. i) Give an equation that describes the situation. ii) How many trinkets must he sell to earn $1000 in a single week?

A.M=500+25T, Sam must sell 20 trinkets.
B.M=25T, Sam must sell 20 trinkets.
C. M=500+T, Sam must sell 40 trinkets.
D.M=25T, Sam must sell 2 trinkets.

Answer 1

The correct equation describing Sam's earnings is M = 500 + 25T, where M is the total money earned and T is the number of trinkets sold. Sam must sell 20 trinkets to earn $1000 in a single week, therefore, option A is the correct answer.

Step-by-step explanation:

To answer the student's question, let's start with the equation that describes Sam's earnings. Sam earns a fixed amount of $500 per week plus an additional $25 for every trinket he sells. Therefore, if T represents the number of trinkets he sold in a certain week, the equation for the amount of money, M, Sam made that week would be: M = 500 + 25T.

Next, we need to determine how many trinkets Sam must sell to earn $1000 in a single week. We do this by substituting $1000 for M in our equation and solving for T:

• M = 500 + 25T
• 1000 = 500 + 25T
• 1000 - 500 = 25T
• 500 = 25T
• T = 500/25
• T = 20

Therefore, Sam must sell 20 trinkets to earn $1000 in a week. The correct answer is option A: M = 500 + 25T, Sam must sell 20 trinkets.

Answer 2

A:
`m=500+25t`; Same must sell 20 trinkets.

Step-by-step explanation:

This equation is for 1 week and if m is the total amount of money m will be alone on one side of the equation

`m=`

Now we know sam earns $500 per week we don't need a variable since this equation is only for 1 week so we write it just like this

`m=500`

Now he earns 25 per trinket and we represent t for each trinket so we add this on to the equation like this

`,m=500+25t`

Now to find how many trinkets she needs to sell(t) we turn m into 1,000 since that is what we are trying to find

`1,000=500+25t`

Subtract 500 from both sides

`500=25t`

divide 25 from both sides

`20=t`

So 20 trinkets need to sold making A correct

Hope this helps please let me know if you have questions