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N. 1 Find the consten
Ver hor
Christina wants to get in shape, so she joins a local gym, Buff and Tough. For membership, the gym charges a reglstration fee plus monthly dues.
This table shows the relationship between the length of Christina's gym membership (in months),
x, and the total cost of her membership (in dollars),
y.

x (months)

y (dollars)

2

$42

3

$58

4

$74

5

$90

According to the values in the table, do
x and
y have a proportional relationship?
yes
no
Submit
Desk 1

N. $1$ Find the consten $\newline$ Ver hor $\newline$ Christina wants to get in shape, so she joins a local gym, Buff and Tough. For membership, the gym charges a reglstration fee plus monthly dues. $\newline$ This table shows the relationship between the length of Christina's gym membership (in months), $\newline$ $x$ , and the total cost of her membership (in dollars), $\newline$ $y$ . $\newline$ $\newline$ $x$ (months) $\newline$ $y$ (dollars) $\newline$ $\newline$ $2$ $\newline$ $\$42$ $\newline$ $\newline$ $3$ $\newline$ $\$58$ $\newline$ $\newline$ $4$ $\newline$ $\$74$ $\newline$ $\newline$ $5$ $\newline$ $\$90$ $\newline$ $\newline$ According to the values in the table, do $\newline$ $x$ and $\newline$ $y$ have a proportional relationship? $\newline$ yes $\newline$ no $\newline$ Submit $\newline$ Desk $1$

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Find a value using two-variable equations: word problems

Full solution

Q. N.

1

Find the consten

\newline

Ver hor

\newline

Christina wants to get in shape, so she joins a local gym, Buff and Tough. For membership, the gym charges a reglstration fee plus monthly dues.

\newline

This table shows the relationship between the length of Christina's gym membership (in months),

\newline

x

, and the total cost of her membership (in dollars),

\newline

y

.

\newline

\newline

x

(months)

\newline

y

(dollars)

\newline

\newline

2

\newline

\$42

\newline

\newline

3

\newline

\$58

\newline

\newline

4

\newline

\$74

\newline

\newline

5

\newline

\$90

\newline

\newline

According to the values in the table, do

\newline

x

and

\newline

y

have a proportional relationship?

\newline

yes

\newline

no

\newline

Submit

\newline

Desk

1

Calculate Rate of Change: Calculate the rate of change between each consecutive month to determine if it's constant. $\newline$ From $2$ to $3$ months: $(58 - 42) / (3 - 2) = 16$ dollars per month. $\newline$ From $3$ to $4$ months: $(74 - 58) / (4 - 3) = 16$ dollars per month. $\newline$ From $4$ to $5$ months: $(90 - 74) / (5 - 4) = 16$ dollars per month.
Check Initial Value: Check if the initial value (y-intercept) is zero, which is necessary for a proportional relationship. $\newline$ Using the rate of $16 per month, calculate the cost for$ $0$ months: $\newline$ $y = 16x + b$ . Using $x = 2$ and $y = 42$ : $\newline$ $42 = 16(2) + b$ $\newline$ $42 = 32 + b$ $\newline$ $b = \(10\)
Verify Proportional Relationship: Since the y-intercept \(b\) is not zero \(b = 10\), the relationship is not proportional.

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115+\int_{12}^{20} r(t) d t

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1000+\int_{3}^{8} r(t) d t=1500

\newline

1

\newline

(A) The town's population grew by

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\newline

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1

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Question

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\newline

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23

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3

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Georgeland Cycles makes and sells two models of electric bicycles. The Commuter (a folding model) sells for

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Complete this question by entering your answers in the tabs below.

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How many of each model ebike must Georgeland Cycles sell every year to break even?

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