Answer:
(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.
