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fgiga [73]
2 years ago
7

Hayley is considering two gym membership plans. The plans are detailed here.

Mathematics
1 answer:
mote1985 [20]2 years ago
6 0
<span>Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

So, the monthly pass is 50 plus 3 for each visit. You know 50 stays constant no matter how much Hayley goes to the gym so you can already put that into the form as 'b' also known as the y-intercept.

y=mx+50

Now, you need to find the slope which is the amount it increases or decreases by every time. Since Hayley gets charged $3 every visit, that would be the slope (m).

Plan 1: y=3x+50

---------------------------------------------------------
</span><span>
Plan 2: $10 for each gym visit
</span>
There is only a slope (m) for this. Technically there is a y-intercept (b), but since that is 0 it is not needed. Plug in the values.

y=mx+b
y=10x

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Answer:

aₙ = -15 + 10 * (n-1)

Step-by-step explanation:

aₙ = a₁ + (n-1)*d       a₁: first term     d: common difference

a₅  a₁ + 4d =25 .... (1)

a₁₁  a₁ + 10d = 85   ...(2)

(2) - (1)     6d = 60

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a₁ = -15

Formula: aₙ = -15 + 10 * (n-1)

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