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The sales totals at Robert's food store have increased linearly over the month. Which of these best shows the sales in the first three months?


$1200 in the first month, $1212 in the second month, $1224.12 in the third month


$1200 in the first month, $1236 in the second month, $1273.08 in the third month


$1200 in the first month, $1285.48 in the second month, $1370.96 in the third month


$1200 in the first month, $1224.28 in the second month, and $1248.48 in the third month

Verified Answer :

JeanaShupp

Answer:  $1200 in the first month, $1285.48 in the second month, $1370.96 in the third month

Step-by-step explanation:

We know that when a function increases linearly, then the  rate of change of function over time remains constant.

 

  • $1200 in the first month, $1212 in the second month, $1224.12 in the third month  

Here, \(1212-1200=12\) but \(1224.12-1212=12.12\)

⇒ Rate of change is not constant.

  • $1200 in the first month, $1236 in the second month, $1273.08 in the third month  

 Here, @@MATH_TOKEN_2@@ but @@MATH_TOKEN_3@@

⇒ Rate of change is not constant.

  • $1200 in the first month, $1285.48 in the second month, $1370.96 in the third month  

 Here, \(1285.48-1200=85.48\) and \(1370.96-1285.48=85.48\)

Thus,  the rate of change is constant i.e. $85.48 per month.

Hence, This  shows the sales in the first three months.

  • $1200 in the first month, $1224.28 in the second month, and $1248.48 in the third month

Here, \(1224.28-1200=24.28\) but \(1248.48-1224.28=24.2\)

⇒ Rate of change is not constant.

Answer:

1200 in the first month, $1285.48 in the second month, $1370.96 in the third month

Step-by-step explanation:

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