The equation 7x + 5y = 100 is in standard form. This form tells us the x and y intercepts easily. What are the x and y intercepts?
To find the x-intercept, we set y=0 in the equation and solve for x:
7x + 5(0) = 100
7x = 100
x = 100/7 ≈ 14.29
So the x-intercept is approximately (14.29, 0).
To find the y-intercept, we set x=0 in the equation and solve for y:
7(0) + 5y = 100
5y = 100
y = 100/5 = 20
So the y-intercept is (0, 20).
Michele has $25. She plans to save $10 per week until she has a total of $75. Which equation matches this scenario?
Let's use the variable w to represent the number of weeks Michele saves.
Since she plans to save $10 per week, the total amount she saves after w weeks can be represented by the product of 10 and w, which is 10w.
The equation that matches this scenario is:
10w + 25 = 75
Explanation:
The left side of the equation, 10w + 25, represents the total amount of money Michele has saved after w weeks. We add 25 to this amount to account for the initial $25 she already had. This sum should be equal to the total amount she wants to have, which is $75.