1. lacobbe Jacob has $25 worth of baseball trading cards. His sister, Bonita, has some trading cards and

his sister, Madison, has $7 worth of trading cards. Bonita cards are worth $2 each. Bonita's

and Madison's trading cards together are worth more than Jacob's cards. How many trading

cards, x, could Bonita have?

a) Write the inequality.

b) Solve the inequality using properties of operations.

c) Represent the solution(s) on a number line.



15

10

d) Use substitution to determine whether 8, 9, 12, or 15 are solutions to the inequality.

2x + 7 > 25 ; 9

Step-by-step explanation:

Total worth of Jacob's cards = $25

Number of Bonita's card = x

Worth of Bonita's card = $2 each

Worth of Madison card = $7

Bonita and Madison cards are worth more than Jacob's card

The inequality

Bonita = 2x ; Madison = 7

2x + 7 > 25

Solving for x

2x > 25 - 7

2x > 18

x > 18 /2

x > 9

8 2/3 is the answer

step-by-step explanation: just use a calculator

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.