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Duane recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F. What was the temperature on the first day?

Respuesta :

whitneytr12

Answer:

The temperature on the first day was 10 °F.

Step-by-step explanation:

Let's find the temperature in every single step starting from the fourth day:

[tex]T_{4} = T_{3} - 6 F = 1 F[/tex]          

[tex] T_{3} = 1 F + 6 F = 7 F [/tex]

Then, the temperature of the third day was 7 °F

On the third day:

[tex] T_{3} = T_{2} - 10 F = 7 F [/tex]

[tex] T_{2} = 7 F + 10 F = 17 F [/tex]

Hence, the temperature on the second day was 17 °F.

Now, on the second day:

[tex]T_{2} = T_{1} + 7 F = 17 F[/tex]  

[tex] T_{1} = 17 F - 7 F = 10 F [/tex]

Therefore, the temperature on the first day was 10 °F.

I hope it helps you!                        

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