Question

Ryleigh received a $50 gift card to the frozen yogurt shop for her birthday. The shop sells yogurt sundaes for $4 and yogurt cones for $3. How many sundaes and cones can she buy with her card?

If x represents the number of yogurt sundaes and y represents the number of yogurt cones, which graph correctly shows the solution to the problem?

Answer 1

4x + 3y = 50
This is the equation
we can put it in slope intercept form so it'll be easier to put on a graph
4x + 3y = 50
subtract 4x from both sides
3y = -4x + 50
divide everything by 3 to isolate y
y = -4/3x + 50/3

Hope this helps :)