Answer:
The system of equation is .
After 30 miles all the sponsors donate the same amount.
Step-by-step explanation:
Given:
Amount of donated by each of the other sponsors = $15
Amount donating by one person per mile = $0.5
We need to write the system of equation to model the donation d for m miles biked.
Also We need to find the number of miles all sponsors donate the same amount.
Solution:
Let the amount donated be denoted by 'd'.
Let number of miles biked be denoted by 'm'.
Now we know that;
Amount of donated by each of the other sponsors = $15
so we can say that;
Also We know that;
Amount donating by one person per mile = $0.5
So we can say that;
Hence The system of equation is .
Now to find the number of miles when all the sponsors donate the same amount we will make both the equation equal we get;
Dividing both side by 0.5 we get;
Hence After 30 miles all the sponsors donate the same amount.