The cost when the two plans are the same is $1802. The number of sessions where the plans would be the same is 27.
<h3>What is the cost and the number of sessions?</h3>
The linear equation that represents the total cost of the first plan: initial consultation + charge per session x number of sessions)
= $74 + $64s
The linear equation that represents the total cost of the second plan: $20 + $66s
When the two plans are the same, the two linear equations would be the same.
$20 + $66s = $74 + $64s
In order to determine the value of s, take the following steps:
Combine similar terms:
$66s - $64s = $74 - $20
Add similar terms:
$2s = $54
Divide both sides of the equation is $2
s = $54 / 2
s = 27
Total cost when s is 27: $20 + $66(27)
$20 + 1782 = $1802
To learn more about cost, please check: brainly.com/question/14605725
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