Answer:
August made the recipe using the correct ratios
Step-by-step explanation:
we know that
Sally uses 6 cups of lemonade for every 8 cups of fruit punch
so
using proportion
Find out the number of cups of fruit punch for 15 cups of lemonade
Let
x ----> the cups of fruit punch

The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch
so

therefore
August made the recipe using the correct ratios
Answer:
f⁻¹(x) = (x - 1)/8
Or
f⁻¹(x) = 1/8 x - 1/8
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".
Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".
f(x) = 8x + 1
y = 8x + 1
<u>Switch the "x" and "y" variables</u>
x = 8y + 1
<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting
8y + 1 = x
8y + 1 - 1 = x - 1 Subtract 1 from both sides
8y = x - 1
Divide both sides by 8 and simplify
Inverse equation
Slope-intercept form
<u>Use function notation</u>, change "y"
Simplified
Slope-intercept form
15,677 would become 20,000. If the number were lower, it would've became 10,000. Hope this helps. :)