Answer:
5 hours
Step-by-step explanation:
Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour
To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed
Solution:
Current water temperature at beach [tex]=82^{\circ}[/tex]
temperature rising rate degrees per hour [tex]=0.6^{\circ}[/tex]
let [tex]\text{h}[/tex] be the hours passed.
water temperature at the beach after hour [tex]\text{h}[/tex] be
[tex]= 82+0.6\text{h}[/tex]
Therefore,
equation for water temperature after [tex]\text{h}[/tex] [tex]\text{hour}[/tex] is
[tex]= 82+0.6\text{h}[/tex]
When water temperature is [tex]85^{\circ}[/tex]
[tex]85=82+0.6\text{h}[/tex]
[tex]0.6\text{h}=85-82[/tex]
[tex]0.6\text{h}=3[/tex]
[tex]\text{h}=\frac{3}{0.6}[/tex]
[tex]\text{h}=5[/tex] [tex]\text{hours}[/tex]
therefore it will take [tex]5[/tex] [tex]\text{hours}[/tex] to reach temperature [tex]85^{\circ}[/tex]
Initial temperature = 82°
Rate of temperature rise = 0.6° per hour
Final temperature = 85°
The equation which describes the relationship :
Final temperature = Initial temperature + (rate × number of hours)
Number of hours = h
Mathematically, the relationship can be written as :
85 = 82 + 0.6h
Solving for h :
Subtract 82 from both sides :
85 - 82 = 0.6h
3 = 0.6h
Divide both sides by 0.6
3/0.6 = h
h = 5
Hence, the temperature will be 85° after 5 hours
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