Final answer:
The equation that represents the relationship between the number of boxes of cookies and protein bars is 3.50x + 2.50y = 35. The intercepts can be interpreted as follows: if you buy 0 boxes of cookies, you can buy 14 boxes of protein bars with $35, and if you buy 10 boxes of cookies, you can buy 0 boxes of protein bars with $35.
Step-by-step explanation:
To write the equation that represents the relationship between the number of boxes of cookies, x, and the number of boxes of protein bars, y, we need to use the given information.
The price of cookies is $10.50 for 3 boxes, which means the price per box is $10.50 / 3 = $3.50.
The price of protein bars is $10 for 4 boxes, which means the price per box is $10 / 4 = $2.50.
Now we can set up the equation:
3.50x + 2.50y = 35
This equation represents the relationship between the number of boxes of cookies and the number of boxes of protein bars that you bought.
To interpret the intercepts, we can set x or y equal to 0 and solve for the other variable.
If x = 0, then 2.50y = 35 and y = 14. This means that if you buy 0 boxes of cookies, you can buy 14 boxes of protein bars with $35.
If y = 0, then 3.50x = 35 and x = 10. This means that if you buy 10 boxes of cookies, you can buy 0 boxes of protein bars with $35.