Answer: Fourth graph correctly shows the solution of given problem.
Explanation:
Here, Ryleigh received a $50 gift card to the frozen yogurt shop for her birthday,
Therefore, he can buy things under $50, that is total expenditure of Ryleigh must be $50 or less than $50.
Thus, total expenditure ≤ 50 -------(1)
Again, the shop sells yogurt sundaes for $4.00 and yogurt cones for $3.00 (given)
And, if he bought x yogurt sundaes and y yogurt cones then his total expenditure= 4x+3y ------(2)
Then, from equation (1) and (2), the representation of given situation is,
4x+3y ≤ 50
According to the given graphs,
first graph shows 4x+3y> 50 , so it can not be the graph of above situation.
Second graph shows 4x+3y<50, so it can not be the graph of above situation.
Third graph shows 4x+3y≥50, so it can not be the graph of above situation.
But, fourth graph shows 4x+3y ≤ 50, which is representing the above situation.