Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.

match each situation to its corresponding function.

First question:  f(x) = 23(1.17)ˣ; Second question:  f(x) = 27(1.13)ˣ; Third question:  f(x) = 13x - 170; Fourth question:  f(x) = 17x + 23

Explanation:

First question:  Shop A sells 11 units and Shop B sells 12 units.  Together, this is 11+12 = 23 units.  The rate of sales is expected to increase by 17%; this means they will sell 100% of the current sales and an extra 17%:

100+17 = 117%; 117% = 117/100 = 1.17

This gives us the equation f(x) = 23(1.17)ˣ

Second question:  We want to find the difference between element A, 44(1.13)ˣ, and element B, 17(1.13)ˣ:

44(1.13ˣ) - 17(1.13ˣ)

Factor out the common factor, 1.13ˣ:

1.13ˣ(44-17) = 1.13ˣ(27) = 27(1.13)ˣ

Third question:  Selling x shirts for $13 each gives us the expression 13x.  She plans to donate $270; this means she would subtract it from her profits, giving us the function

f(x) = 13x-270

Fourth question:  We subtract the length of the patio, 13x+6, from the length of the backyard, 30x+29:

30x+29 - (13x+6) = 30x+29 - 13x - 6

Combine like terms:

30x-13x + 29-6

17x + 23

This gives us the function

f(x) = 17x + 23

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

16.9 times 2.85

step-by-step explanation: