Math 1300 - Fall 2024 LO 2 Linear Functions PDF

## Math 1300 - Fall 2024 ## LO 2 Linear Functions ## LC 2 - vA3 (LO1, LO2) 3. Rachel has a gift card to use at the Arbor Day Orchard. Buying 3 pounds of apples leaves $15.53 on her gift card. Buying 11 pounds of apples leaves $3.61 on her gift card. **(a)** Choose the linear equation that models t...

## Math 1300 - Fall 2024 ## LO 2 Linear Functions ## LC 2 - vA3 (LO1, LO2) 3. Rachel has a gift card to use at the Arbor Day Orchard. Buying 3 pounds of apples leaves $15.53 on her gift card. Buying 11 pounds of apples leaves $3.61 on her gift card. **(a)** Choose the linear equation that models the situation if *x* represents the number of pounds of apples Rachel buys and *y* represents the amount left on her gift card. - *y*-15.53 = -1.49(*x*-11) - *y*-3 = -1.49(*x*-3.61) - *y*-3 = -1.49(*x*-15.53) - *y*-3.61 = -1.49(*x*-11) - *y*-3.61 = -1.49(*x*-3) - *y*-11 = -1.49(*x*-3.61) **(b)** Explain the meaning of the *y*-intercept using phrases from the word bank to fill in the blank. The *y*-intercept is the _original value of the gift card_ to the Arbor Day Orchard. **(c)** Explain the meaning of the *x*-intercept using phrases from the word bank to fill in the blank. The *x*-intercept is the _ending value of the gift card_ of apples Rachel can purchase. **(d)** Explain the meaning of the slope using phrases from the word bank to fill in the blanks. The amount of money remaining on the gift card _changing value_ by $1.49 for each _maximum number of pounds_ she buys. **Word Bank:** - decreases - increases - stays constant - maximum number of pounds - minimum number of pounds - original value of the gift card - ending value of the gift card - changing value - pound of apples - number of apples