Wednesday, February 5, 2014

How sweet is Truvia? A simple problem made difficult.

Is there a more confusing conversion chart than this?

Truvia Conversion Chart Snapshot

My recipe calls for a cup of sugar, so I’m expected to measure a third of a cup then add one and a half tablespoons of Truvia? Are they serious? We’re cooking for crying out loud. We don’t have to be that precise. If 2 tsp of sugar equals ¾ tsp then the conversion factor is 37.5%. But 37.5% of 1 tbsp isn’t 1.25 tsp. WTF?

Let’s normalize this chart to a standard consistent measure. I’ll pick tablespoons.

Sugar Truvia
cup tbsp tsp Total (tbsp) cup tbsp tsp Total (tbsp) packets


1

½


2

¾ ¼ 1

1
1

1 ¼ 512 1 ½
¼

4
1 2 1 ⅔ 6


5 ⅓
2 1 2 ⅓ 8
½

8
3 ½
3 ½ 12
1

16 1 ½
56 24

That’s a little better. Maybe we can get a formula by doing a linear regression of the data points.

Spoonable Truvia Graph

Ah! The slope of the line reveals that only 43% of spoonable Truvia is needed. Inverting 0.43 yields that spoonable Truvia is over 232% sweeter than sugar. The packet totals are perfectly linear. Take the number of tablespoons of sugar and multiply it by 1.5 to get the number of packets.

Here’s the simplified chart (approximating for spoonable Truvia):

Sugar (cups) Truvia
spoonable (tbsp) packets
¼ 1 ¾ 6
½ 3 ½ 12
¾ 5* 18
1 7 24
* slightly rounded tablespoon

I spent an inordinate amount of time to solve a problem with an approximation. Does this mean I’m anal retentive or not?

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