Final answer:
To find your weekly pay p as a function of time t working at the cafe, use the equation p = 11.00t + 13.65(25 - t). If you work 10 hours at the cafe, your weekly pay would be $314.75.
Step-by-step explanation:
To write an equation that gives your weekly pay p (in dollars) as a function of time t (in hours) spent working at the cafe, we start by setting up two components of your income: one for each job. Let's denote the number of hours you work at the cafe as t and the remaining hours at the art gallery as 25 - t, since the total hours worked per week is 25.
The pay from the cafe is $11.00 per hour multiplied by the number of hours worked there, which is t hours. The pay from the art gallery is $13.65 per hour multiplied by the remaining hours of the week, which is 25 - t hours. Therefore, the equation representing the weekly pay p is:
p = 11.00t + 13.65(25 - t)
To find your weekly pay if you work 10 hours at the cafe, we substitute t with 10 hours:
p = 11.00(10) + 13.65(25 - 10)
p = 110.00 + 13.65(15)
p = 110.00 + 204.75
p = $314.75
Thus, if you work 10 hours at the cafe and the remaining 15 hours at the art gallery, your weekly pay would be $314.75.