Eve is organizing a race to raise money for a local children's hospital. she makes $20 for each 5k participant and $45 for each 10k participant. her goal is to raise $9,500.if x represents the number of participants in the 5k race and y represents the number of participants in the 10k race, the linear equation for the given scenario is

20x + 45y = 9500 is the linear equation for given scenario

Solution:

Given that Eve makes $20 for each 5K participant and $45 for each 10K participant

Cost of each 5k participant = $ 20

Cost of each 10k participant = $ 45

Her goal is to raise $9,500

Let "x" represents the number of participants in the 5K race

Let "y" represents the number of participants in the 10K race

To find: linear equation for given scenario

The standard form for linear equations in two variables is Ax + By = C

Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500

From the above statement, we can frame a equation as:

number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500

20x + 45y = 9500

Thus the linear equation for given scenario is found