An appliance manufacturer has determined that the cost, in dollars, of producing x espresso makers is given by
![](data:image/png;base64, /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAARAGADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD7l8MeOPiR8ZYLvxF4K1Hwr4Y8IJeXFlYDW9IuNVutS8iZ4ZJy0V5brbo0kbqqYlO1Q5I3bF2r7442Xh288QXniJo9J8O+HBbWOrXdtaXV6kOoSxpM/wC9SMBLeGOSMtM6Bf3uWMXlkNk6R8EvGXw31XWV+HHjnStH8M6pdyai2g+JPDr6olldSyO87WssN3asscjPuKSebhgSpUHbTbH4a69BqHjPwpNq7nTfEl1b6tc6tLphkN3bm2htb613o6pDM5gVg23hbg7EYoxQgvcV3rb8dL9Nrcz8rJpdG7Lmd3p+nT57aaX6vqdN4h+L1np8MWrac4vtAs9Xi0bVZms512ySyJCklvLt2TKkrqj7AyglwXVomU9F43+JXhH4Z2Nve+MPFWieFLO4k8mG41vUYbOOV8E7VaVlBbAJwOcCvK774Sa14e+Hdl8NLPVp9c0afVbUaZLNYNu0jSreeKZoJ5/M2zbVj8mI4RyGTIkKO59U8b+ANM+INjb2mqXWt2sUEnmo2ia9faTITgjDPaTRM68/dYkZ5xmh/D7v9bX0/LV6+l2LZc2//D6/10tohng34l+FPiXpt3e+C/FGheLoLZ/Kkm0bU4ruKOXbkI7xFwpwQeecHOK8V0/9oPxPZeM/H2gLq/gj4j6loHhy61ldF8Iu0F9Y3kMmwWFwrXExkLE48wJEVKcxAyIK9l8M/Dey8FaDqWm6HqmvRPeBmF5q2t3msTQSFdoaNr6Wbbjg7fukjkHJrz3Wf2fNZ+In2q4+IPizT9W1JNJu9I0250DQzpy20dx5fmySrLcXHnOfKQAZSPBcFCSCsu+rj2e/o/1s+nqtbidlquv4X/Vaffpsed/DD9p3xd8Wrm10rwn4o8C+KJNUlgW38RWekXcEGln7NNPcQXNg92ZZJUEcCjE0XM5yAYmU9X4b+LfxL8e3KeE9Jbwro/i/Tn1NNW1a8sLi8sHNrcJBF5NstzFInneZvO6ZvKCFf3m4EWdU/Z28Ya546034i3vjvRoviRpEQstPvrDw1LDpf2M+Z5kNzaNetLOW85iG+0JsKIUVcy+bdt/gD4o8OSabrPhnx1ZWHjDZfJq+oaloTXdlqBu5xcSOtqlzE0TJIqiM+a4VMqwkJ3CmrzT05db73vbRr0e/5SWrlrSy3uvS32r+fbp6bHX+Bvi3baz8ELH4h+Io4tEtk0p9S1RYGa4jtRErGfbtXc4XY+MLuIHTNdtLeS3OkNd6YkV1NJAZbVJ5GhjkYrlAzBWKg8ZO0kDseled69+zl4L8XfBa1+GniHTYdc0e3082UV1e20M1xDKYjGbuIujLHPlmcOF4Y8DHFdd4P8BaH8OPCkPh/wAI6Rpvh3TrdG8i2sbJIYFkPV2jjCAknlsYJOeap25Hf4vLb8fPzKVko2+d/wAP+D/V+b+BHjnXvH3g7UbvxIunDV7DXdU0iRtKhkigcWt5LArBXd2BIjBOW6k8DpXO+Ffj7Y/ET4qzeHdD8WeE9Ot9Pu7i0fRb2YT61qxhLpNLbwrOhghSRGAkZJfMCuQqKFZ7nwq+Fvjr4b+Gda06bxl4e1S91DXJ9ZS5j8NTwRxC5unuLqIxm/ctkyMsbbxs4LCXocvwv+zjd+HNasbZvEGmy+CtL8QXHibTtLg0JYdQS9maVz5t55xV4w1xL9yCOQrsVpGUOHp8vP7u3/AX/B8vwaJu7ly93b01svy9N9dUe4UUUVmIKKKKACiiigAooooAKKKKACiiigD/2Q==)
x
0.5. If the revenue from the sale of x espresso makers is given by
![](data:image/png;base64, /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAVAE8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9C7f9pX4RXetR6PB8VPBM2ryTi1Swj8RWbTtMW2iMRiTcX3cbcZzxXftqNomoR2DXUK30kTTpamQea0alVZwvUqC6gnoCw9RXwtqvifQPG2r/ABct38R+GdW+FMvjVZPGo0vyrnU7W2WzsRBdGTe6raieAxyt5W+MJI6SKY2Ker6j45l1bTfir4h8P+OoNL8Qy67ZaX4duLVbW8jvlFjbzWVmqureZFPJczOSjK2JXZXQAkVG0oKS3sm/ny2tvfWWlr3Seieg7NzcfNr7r/dt1slp0aPpOXUbSC9t7OW5hju7hXeG3eQCSVUxvKr1IXcucdMj1qxXzFe/ESbxj8GrzxJeazLF4y0nxPpv2nRLiKCKTw5em8ggaxUbNxV45GUSyF/NWcuhVHRV9A+OPiP4q6FfaUvw60P+17aSOQ3jf2NaX2xwRtGZ9Z08rkZ4CyZ9V6GXol5/dtffb7vLo0CV1zL+nf8Ar8T1DW9b07w1pF5qur6ha6VpdnE09ze3sywwQRqMs7uxCqoHJJOBXI+Hfjz8M/F9tqlzoXxF8J63b6VAbq/m07W7a4SzhHWSUo5EacH5mwOKq+Cde1m4+FVzqvxVs7XSZ7dJ59RjvbGC0hit48tveOO+vYwoVdxPnt0yQvSvKfi/ZL4y+Bep+LdXnn8MXHiS+02a21mcBf8AhHbGO7jls7m4RwybIiFuZUfC7nZXZVUOsSlyvXy/H5r8Wlo7tbhHW19P+Bv/AF5rQ+gPCHjfw78QdGTWPC2v6X4l0l3aNb/SLyO7gZl4ZRJGxXI7jPFeX/FX4j+PdO1TxePBa+H4bPwfpEWq30euWk08mpuyzSG2ieOaMW2I4R+9ZZctKPkwh3eA6D8UvE3hfW/EGr+GPGemfEG9kuzf6ze+FtJikstY077MkcmqQwKzuZLJxFFthuJEn8t48CUP5Xt1z8KNT+IWmy614N+KsV74e8X6Hb6fq+oXemQ38mowIrqLm1lgkgigmeOWRWbypI8hCI12kNUk2rQ0fnfR2f3q/rftdOzVoySqLT8WvLXf7u+l0anxe+N03hDwz4Jv7bWNA8G2XiV/3nifxWhm0zTR9nadUlCzQBnk27EzLGM5OWO1G3vgD8Upfi54Dl1a4eyuLmz1G60yW902OWO0vTBIUFxCkmWWOQAMFLOBnAdxhjd1/wAJeNLrQ7rSfD/i7TPC9uZ4o7K5t9CM9zZWKxhXjUy3DRtPuGVlaMoo4aFz81R/CrwRcfDtb3w/p9jBp/hCxVFsTOTLf3105aS6u55vMYP5juPvKrlxITwVqla8n0ey+7r+nnfpcy95Rinv1/H89H8raXsegVjweGba18U3WuwSzQ3F3bJbXMClfJn2MTHIwIyHUM65BGVbDBtqbSil5lia74WtfEd/pNxeyztFptx9ritEcLFJMB+7dxjLbOSoztyckEqpXZoooDcKKKKACiiigAooooA//9k=)
find the rate at which the average profit per espresso maker is changing when 40 espresso makers have been made and sold. Round to the nearest cent.
◦ $2.24/espresso maker
◦ $2.52/espresso maker
◦ -$2.24/espresso maker
◦ -$2.52/espresso maker