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Natasha2012 [34]
3 years ago
5

Before we can make the mashed potatoes, we need to boil some water. The water starts out at room temperature, 70° F, and increas

es by 50° F per minute. Create a linear equation using time t (in minutes) and temperature y (in °F) that models this heating of water. How many minutes until the water boils at 212° F?
Mathematics
1 answer:
Karolina [17]3 years ago
6 0

Answer:

Part a) y=50t+70

Part b) t=2.84\ min

Step-by-step explanation:

Part a) Create a linear equation

Let

t ----> the time in minutes

y ---> the temperature in °F

we know that

The linear equation in slope intercept form is equal to

y=mt+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The slope m is equal to

m=50\° F\ per\ minute

The y-intercept is

b=70\° F

substitute

y=50t+70

Part b) How many minutes until the water boils at 212° F?

For y=212° F

substitute in the linear equation and solve for t

212=50t+70

50t=212-70

50t=142

t=2.84\ min

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