6 scoops of flour, Tiana can bake 48 cookies.
To solve this problem using unit rates, we can find the rate of cookies per scoop of flour in the first scenario and then use that rate to calculate the number of cookies in the second scenario.
Find the unit rate of cookies per scoop of flour:
Unit rate= Number of cookies/ Number of scoops of flour
Unit rate= 40 cookies/ 5 scoops of flour
Unit rate=8 cookies/scoop of flour
Use the unit rate to calculate the number of cookies with 6 scoops of flour in the second scenario:
Number of cookies=Unit rate×Number of scoops of flour
Number of cookies=8 cookies/scoop of flour×6 scoops of flour
Number of cookies=48 cookies
Therefore, with 6 scoops of flour, Tiana can bake 48 cookies.