The cost of a school banquet is $70 plus $15 per person attending. Determine the linear equation that models this problem. What is the cost for 44 people?

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Answer 1 · 2015-11-01T12:38:41

Let's make this an #x-y# problem where #x#=persons and #y#=cost

When #x=0->y=70# (this is called the #y#-intercept.

For every #x+1->y+15# so #(Deltay)/(Deltax)=15# (=the slope)

So the equation will be #y=15x+70#

And for #44# or any other number of people you just substitute the number for #x#.