Answer: [tex]10(m-15)=450[/tex]
m=60 minutes
Step-by-step explanation:
Let 'm' be the total number of minutes .
If Spencer usually plans to stop and rest for about 15 minutes.
Then the total time for biking=[tex]m-15[/tex]
Since biking burns about 10 calories per minute.
Total calories burn=[tex]10\times(m-15)=10(m-15)[/tex]
As Spencer wants to burn 450 calories while biking.
It gives the equation [tex]10(m-15)=450[/tex], where m is the total minutes.
To solve this divide both sides by 10, we get
[tex]m-15=45\\\Rightarrow\ m=45+15\\\Rightarrow\ m=60\ minutes[/tex]