Allison is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The daily fixed costs are $400 and and the total cost of producing 3 phones in a day would be $550. Write an equation for the function C ( p ) , C(p), representing total cost, in dollars, of producing p p phones in a given day.

Step-by-step explanation:

Let p represent number of phones produced in one day.

We have been given that Allison must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The daily fixed costs are $400 and and the total cost of producing 3 phones in a day would be $550.

Let x represent cost of each phone.

We can represent this information in an equation by equating total cost of 3 phones with 550 as:

Let us find cost of each phone.

Since cost of each phone is $50, so cost of p phones would be .

The total cost would be equal to cost of p phones plus fixed cost.

Therefore, our required cost function would be .

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

the bolded word " farsighted" could be replaced with visionary.