Question

"71 points". Match the proportional relationships to their corresponding equations.

11 pounds of apples for $40.59
12 gallons of gasoline for $44.16
15 magazines for $54.75
14 sandwiches for $50.68
t = $3.69n
arrowBoth
t = $3.62n
arrowBoth
t = $3.65n
arrowBoth
t = $3.68n
arrowBoth

Answer 1

1 pound of apples cost $3.69,

1 gallon of gasoline for $3.68,

1 magazine for $3.65,

1 sandwich for $3.62.

Explanation:

40.59/11=3.69

44.16/12=3.68

54.75/15=3.65

50.68/14=3.62

Answer 2

11 pounds of apples for $40.59 Equation: t = $3.69n. 12 gallons of gasoline for $44.16 Equation: t = $3.68n. 15 magazines for $54.75 Equation: t = $3.65n. 14 sandwiches for $50.68 Equation: t = $3.62n with arrowBoth.

To match the proportional relationships to their corresponding equations:

1. 11 pounds of apples for $40.59

- The cost per pound is
`\( (40.59)/(11) \approx 3.69 \).`

- Equation: t = $3.69n

2. 12 gallons of gasoline for $44.16

- The cost per gallon is
`\( (44.16)/(12) \approx 3.68 \).`

- Equation: t = $3.68n

3. 15 magazines for $54.75

- The cost per magazine is
`\( (54.75)/(15) \approx 3.65 \).`

- Equation: t = $3.65n

4. 14 sandwiches for $50.68

- The cost per sandwich is
`\( (50.68)/(14) \approx 3.62 \).`

- Equation: t = $3.62n

In each case, the equation t = kn represents the proportional relationship, where k is the constant unit rate of cost per item. The arrowBoth indicates the direction of the proportional relationship.