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4 votes
PLS HELP ASAP

Eleri mows grass in her neighborhood. She charges $35 per yard. Eleri offers a discount to repeat customers, where she charges $3 less than the previous time to cut the grass. Suppose Eleri is cutting your grass for the 8th time. Which explicit formula describes how much she will charge you?

2 Answers

4 votes

Final answer:

The explicit formula to calculate Eleri's charge for the 8th grass-cutting service is a8 = 35 + (8 - 1)(-3), which simplifies to a8 = 35 - 21, resulting in a charge of $14.

Step-by-step explanation:

The student's question is about finding an explicit formula for calculating the charge for mowing grass with a discount applied each time.

To find the amount Eleri charges for cutting the grass for the 8th time, we need an arithmetic sequence formula, which typically has the form an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms. In this case, the first term a1 is $35, the term number n is 8, and the common difference d is -$3 (because the price decreases by $3 each time).

The explicit formula is a8 = 35 + (8 - 1)(-3), so the charge on the 8th time would be a8 = 35 + 7(-3).

Simplifying that, we get a8 = 35 - 21 = $14. Therefore, Eleri will charge $14 to cut the grass for the 8th time.

answered
User Maksym Fedorov
by
8.8k points
3 votes
Minus 3 from 35. Do that eight times. Or simply 8x3=24$. 35-24$=11$. 11$ will be charged
answered
User Iver
by
8.1k points
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