Mariana tried to drink a slushy as fast as she could. she drank the slushy at a rate of 4.5 milliliters per second. after 17 seconds, 148.5 milliliters of slushy remained

This is what i did to get the answer.

225/ 4.5 = 50 seconds to finish the slushy.

(a) 225 mm

(b)50 seconds

Step-by-step explanation:

Let the equation that represents this situation is y = mx+ b

Here, y represents the amount left in  milliliters and x represents the time in seconds.

It has been given that she drank the slushy at a rate of 4.5 milliliters per second.

So, m = -4.5        (negative because the amount decreases)

And after 17 seconds, 148.5 milliliters of slushy remained

So, when x = 17, y = 148.5

Substituting these values in the above model y = mx +b

148.5 = -4.5(17) + b

148.5 = -76.5 +b

b = 225

Therefore, the model is y = -4.5x + 225

(a)

When x = 0, we have to find y

y = -4.5 (0) + 225

y =225

Thus, 225 mm of slushy was originally in the cup.

(b)

Now, we have to find x for y =0

0= -4.5x + 225

4.5 x = 225

x = 50

So, Mariana took 50 seconds to drink all the slushy.