please help me with this question.
gives line graph with 0 to 2 1/2 marked.
problem: store A charges 9.75% tax and store B charges 7.25%. if shoppers's pre-tax receipt is between $11.57 and $81.43, write and graph a compound inequality that describes the difference in taxes paid for the two stores ( to the nearest cent)
I wrote 11.57 <y < 86.43 but since line graph looks like want diff. tax 2.50 or 2 1/2, i am confused. thank you for your help ann
yall lame af
To write a compound inequality that describes the difference in taxes paid for the two stores, we need to consider the tax rates and the pre-tax receipt range given.
Store A charges 9.75% tax, so the tax paid can be calculated as 0.0975 times the pre-tax receipt.
Store B charges 7.25% tax, so the tax paid can be calculated as 0.0725 times the pre-tax receipt.
Let's use the variable "x" to represent the pre-tax receipt, and "y" to represent the difference in taxes paid.
We know that the pre-tax receipt is between $11.57 and $81.43, so we can write the compound inequality as:
11.57 < x < 81.43
Now, let's substitute the tax paid for each store into the compound inequality.
Store A: 0.0975x
Store B: 0.0725x
Thus, the compound inequality for the difference in taxes paid (y) is:
0.0975x - 0.0725x < y < 0.0975x - 0.0725x
Simplifying this inequality, we have:
0.025x < y < 0.025x
We can further simplify this to:
0 < y < 0.025x
Since we are graphing this inequality, we should consider the range of x values given on the line graph as well. According to the information provided, the x-axis on the line graph goes up to 2 1/2 or 2.5.
Therefore, the final compound inequality, taking into account the range of x values, is:
0 < y < 0.025x (where 0 < x < 2.5)
To graph this compound inequality, you can plot the x-axis from 0 to 2.5 and shade the y-axis region between the two inequalities: y > 0 and y < 0.025x.
I hope this helps! Let me know if you have any further questions.