Question

A faucet leaks water at a constant rate. Tara places a measuring cup under the leak to catch the water. The table shows the number of milliliters of water in the cup at different times. I will mark brainliest!

Answer 1

Answer:

a) 4 ml.hr⁻¹

b) f(t) = 4t

c) 48 ml

Step-by-step explanation:

Answer 2

Answer:

$r=4$

$f(t)=4t$

48 mililiters.

Step-by-step explanation:

We can find the rate of change using the given table.

The formula of the rate of change is

$r=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Where we are gonna use points (3.5, 14) and (4.5, 18). Replacing these coordinates we have

$r=\frac{18-14}{4.5-3.5} =\frac{4}{1} =4$

Therefore, the average rate of change is 4 mililiters per hour.

Now, to find the function, we need to use the rate, a pair and the point-slope formula

$y-y_{1} =m(x-x_{1} )\\y-14=4(x-3.5)\\y=4x-14+14\\y=4x$

Therefore, the function which models this table, using the proper variables, is

$f(t)=4t$

At last, we need to find the amount of water leaked after 12 hours.

$f(12)=4(12)=48$

Therefore, after 12 hours it leaks 48 mililiters of water.