Answer:
11. D
12. $7,000
Step-by-step explanation:
For the first one, $.10 is added for every mile over 50. So if someone drives 51 miles, $.10 will be added. If they drive 52 miles, $.20 will be added. In the last of the options, the initial $100 is added to the $.10 multiplied by x - 50. x represents the number of miles that he drove. x - 50 is the number of 0.10 dollars that are added to the $100.
For the second question, her sales were over $3,500, so we're looking at the second slot in the table.
The equation E = $2,500 + 0.1s + 0.2(s - 3500) tells us that her total earnings are $2,500 plus 10% of her sales plus 20% of her sales minus 20% of 3500.
To solve for s:
E = $2,500 + 0.1s + 0.2(s - 3500)
Distribute 0.2 over the terms in parentheses.
E = 2,500 + 0.1s + 0.2s - 700
Then, combine like terms.
E = 1800 + 0.3s
We know her earnings were $3,900 so we can substitute that into the equation.
3900 = 1800 + 0.3s
Subtract 1800 from both sides.
2100 = 0.3s
Divide both sides by 0.3
7000 = s
So s, the value of her total monthly sales, is $7,000
