Answer: Total costs for 49 baskets = $300
She make 145 dessert baskets the week before.
Explanation:
Given : Fixed weekly costs for rent and electricity = $200
The ingredients for one dessert basket costs = $2.50
Let x be the number of baskets made by Casey, then the total weekly cost will be :-
Total weekly costs = Fixed weekly cost + Cost of ingredients for one dessert × x
= 200+2.5x
For x= 40
Total weekly costs = $200+$2.5(40)=$200+$100=$300
i.e. Total costs for 49 baskets = $300
Her total costs for the week before 562.50.
i.e.
![562.50= 200+2.5x](https://img.qammunity.org/2020/formulas/mathematics/high-school/qhu9fcdehimmhj833up2cxx3xn7qj7t5ma.png)
Subtract 200 from both sides.
![362.50=2.5x](https://img.qammunity.org/2020/formulas/mathematics/high-school/f3gzat3cvypgjjamvxw85lsxoyyaq1hodg.png)
Divide 2.5 from both sides.
![x=(362.50)/(2.5)=145](https://img.qammunity.org/2020/formulas/mathematics/high-school/61xb8c1hqgzpplnhmtwoafm5iq8szyqir5.png)
Hence, she make 145 dessert baskets the week before.