Question 1208101
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Answer:  <font color=red>choice D</font> 


Explanation


The recipe Logan found yields 40 cookies.
He instead wants 70 cookies.
70/40 = 7/4 = 1 & 3/4 is the ratio or scale factor we need to apply to scale up the recipe.


As a simpler example, let's say he wanted to make 80 cookies. That means he'd need to double each portion since 80/40 = 2.
Or if he wanted 120 cookies, then he needs to triple each ingredient since 120/40 = 3.
And so on.


Anyways back to 1 & 3/4.
Based on this value, the answer is between choices A and D.


1 & 3/4 = 7/4
1 & 1/3 = 4/3
(7/4)*(4/3) = (7*4)/(4*3) = 28/12 = 7/3 = 2 & 1/3


The result 28/12, along with 2 & 1/3, point us to <font color=red>choice D</font> as the final answer.


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Another approach would be to use a calculator
(7/4)*(4/3) = 2.3333... where the 3's go on forever.
This matches with 2 & 1/3 = 2 + (1/3) = 2 + 0.3333... = 2.3333...


which helps confirm that the answer is <font color=red>choice D</font> 
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