Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

Question

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

show me what you have so far

anonymous · Answer

4x+10y<=100

anonymous · Answer

I am not sure how to write the second equation.

jim_thompson5910 · Answer

"The soil cost $4 per bag, and the plants cost $10 each"
"can spend no more than $100"
that info definitely leads to `4x+10y<=100`. You are correct

anonymous · Answer

Ok

jim_thompson5910 · Answer

x = number of bags of soil bought
y = number of plants bought

jim_thompson5910 · Answer

" She wants to buy at least 5 plants"
so `y >= 5`
we want the value of y to be 5 or greater

anonymous · Answer

Ok

jim_thompson5910 · Answer

so the system is 
$$\Large \begin{cases}4x+10y\le100\y\ge5\x\ge0\end{cases}$$
we have `x>=0` in there to ensure x is not negative

anonymous · Answer

Ok

anonymous · Answer

Thanks for your assistance! I need help with 2 more if that's fine with you.

jim_thompson5910 · Answer

sure just post as a new question