For the following problem, apply all six steps of the process for solving systems of equations problems. The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and effort. Hot Shirts charges $10 per shirt with a $15 set up charge. T-Shirt World charges $5 per shirt with a $50 set up charge. For what number of shirts is the cost of ordering t-shirts the same at both stores? What is that cost?
a. Define the variables.

b. Write a system of equations to model the situation

. c. Solve the system using any method. Show your steps.

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step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;