Ialready know part a answer just don't know part b.
a) jennifer has a taco stand. she has found that her daily costs can be modeled by c(x)=x^2-40x+610, where c(x) is the cost, in dollars, to sell x units of taco. if she wants to keep her daily costs at $300, how many units of tacos does she need to sell?

b) what answer to part a makes the most sense from jennifer's point of view?

a) 29.486 and 10.513. Rounded to 29 and 11

b) 29 Tacos make more sense.

Step-by-step explanation:

a) The value x of units must satisfy this equation:

c(x) = 300

therefore,

or, equivalently,

the roots of this quardratic function are

Thus, r1 = 29.486, and r2 = 10.513. Assuming the results have to be integers, Jennifer should sell 29 units or 11 to keep her daily costs below $300 the nearest possible. Note that c(29) = c(11) = 291.

b) I will assume that Jennifer wins money proportionally to the amount she sell (without discounting from costs). If this is true, then it would make more sense to sell 29 units because that would give her more gain, including costs.

Also, since the function is quadratic, then it will decrease until certain point, which means that selling more will make her daily costs decrease! For example c(20) = 210. That doesnt make a lot of sense. This model of costs might make more sense for higher values of x, so in any case she should pick the biggest value.

9

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x