Answer:
8.5 inches
Step-by-step explanation:
First let's find the time t when the depth of the snow is 7 inches.
To do this, we just need to use the value of D = 7 then find the value of t:
[tex]7 = 1.5t + 4[/tex]
[tex]1.5t = 3[/tex]
[tex]t = 2\ hours[/tex]
We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:
[tex]D = 1.5*3 + 4[/tex]
[tex]D = 4.5 + 4 = 8.5\ inches[/tex]
The depth of snow one hour from now will be 8.5 inches.
The depth of the snow one hour from now is 8.5 inches.
Let D represent the depth of snow in inches at time t. It is given by the relationship:
D=1.5t + 4
Since the depth of the snow is 7 inches now, hence, the time now is:
7 = 1.5t + 4
1.5t = 3
t = 2 hours
One hour from now, the time would be t = 2 + 1 = 3 hours. Hence the depth at this time is:
D = 1.5(3) + 4 = 8.5 inches
Therefore the depth of the snow one hour from now is 8.5 inches.
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