Question

Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 5-hour job, for instance, is $42dollar sign. Her fee for a 3-hour job is $28dollar sign. Let y represent Apolline's fee (in dollars) for a single job that took x hours for her to complete.

Answer 1

Answer:

7 + 7X

Step-by-step explanation:

I: initial fee

c: constant one hour fee

I + 5C = 42

I + 3C = 28

c = 7

I = 7

for a job of X hour: 7 + 7X

Answer 2

The interpretation of the given question is required.

The two given points are not intercepts

Apolline requires a fixed fee for her work which is $c$ or the y intercept.

After the fixed fee she is paid by the hour $x$.

So, the equation representing the situation will be

$y=mx+c$

where,

y is the total amount paid at the end of her work

m (slope) is the money charged per hour

c is the y intercept.

In the question it is given for a 5 hour job she is paid $42 this can be represented as

$42=5m+c$

Also, for a 3 hour job she is paid $28 which is

$28=3m+c$

Only x and y values are given.

So, neither the y intercept nor x intercept, nor the slope are given.

The two given points are not intercepts.

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