Question

Layla and Sam are both dog sitters. Layla charges $2 per day plus a sign-up fee of $3. Sam charges a flat rate of $3 per day. The system of linear equations below represents y, the total amount earned in dollars for x days of dog sitting.

A. Write the equation to represent Layla’s fees.
B. Write the equation to represent Sam’s fees.
C. After how many days do Layla and Sam earn the same amount for dog sitting?
What is that amount?

Answer 1

a)
`L(t) = 3 + 2\cdot t`, b)
`S (t) = 3\cdot t`, c) Third day.

Explanation:

a) The equation to represent Layla's fees is:

`L(t) = 3 + 2\cdot t`

b) The equation to represent Sam's fees is:

`S (t) = 3\cdot t`

c) Both earn the same amount for dog sitting at the third day.