Gage's math teacher entered the seventh-grade student in a math competition. there was an enrollment fee of $30 and also $11 charge for each packet of 10 test. the total cost was $151. how many test were purchased . set up an equation to model this situation and then solve it

110 test

Step-by-step explanation:

Let

x ----> the number  of packet of 10 test

y ----> the total cost

we know that

The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151

so

The linear equation that represent this scenario is

we have

substitute

Solve for x

subtract 30 both sides

Divide by 11 both sides

The number of packets purchase was 11

To find out the number of test, multiply the number of packets by 10

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~