"Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit."
How many more dollars will Amanda earn on each cake if she switches to the new material? Explain how you found your answer
(make it sound like an eight grade girl that wants to show her work but not too much work, also make it less than 200 words)
If Amanda switches to the new type of icing for her homemade birthday cakes, she will earn $45 more profit per cake. To find this, we use the equation y = 45x, where y represents the profit and x represents the number of cakes sold.
In this case, the equation tells us that for each cake sold (x), Amanda will make a profit (y) of 45 times the number of cakes sold. This means that the profit will increase by $45 for each cake sold.
To see this in action, let's say Amanda sells 5 cakes. With the old icing, her profit per cake is $39, so her total profit would be 5 * $39 = $195. If she switches to the new icing, her profit per cake increases to $45, so her total profit would be 5 * $45 = $225. The difference between the two profits is $225 - $195 = $30. Therefore, Amanda will earn an additional $30 on each cake if she switches to the new material.
In general, no matter how many cakes she sells, she will earn an extra $45 per cake if she switches to the new type of icing. This makes it a smart decision to switch because it will increase her overall profit.