Blog

(07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.

(06.03) How can x − 5 = x + 2 be set up as a system of equations?

(07.01) Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?

(07.02) Given the geometric sequence where a1 = 3 and the common ratio is −1, what is the domain for n?

(07.05) The sequence an = (2)n − 1 is graphed below: Find the average rate of change between n = 2 and n = 4.

(06.01) Choose the graph that matches the following system of equations: 4x + y = −13x + 2y = 8

(06.01) Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada’s sales at the trade show?

(07.01) Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n?

(06.03) Solve the following system of equations and show all work. y = −x2 + 4y = 2x + 1

(07.01) What is the 25th term of the arithmetic sequence where a1 = 8 and a9 = 48?