An independent organization conducts quality testing of various products. One of their aims is to determine if more highly priced goods reflect better quality products. The following scatter plot shows price and quality rating given to $12$12 different cooking pans on the market.

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A scatter plot is presented with the horizontal axis labeled "Price" ranging from 0 to 100 labeled in increments of 10, and the vertical axis labeled "Quality rating" ranging from 0 to 10 labeled in increments of 1. Twelve data points are plotted with black dots and are spread out on the plane. The data points are located at $\left(20,2\right)$(20,2), $\left(25,10\right)$(25,10), $\left(35,9\right)$(35,9), $\left(50,3\right)$(50,3), $\left(55,7\right)$(55,7), $\left(70,4\right)$(70,4), $\left(80,10\right)$(80,10), $\left(90,1\right)$(90,1), $\left(100,9\right)$(100,9), $\left(45,10\right)$(45,10), and $\left(100,9\right)$(100,9). The coordinates of the points are not explicitly given.

A new pan comes into the market priced at $\$75$$75.

Using data from the scatter plot:

the new pan’s quality rating can be approximated by fitting a linear function to the data

we cannot approximate the new pan's quality rating by fitting a linear, exponential or quadratic function to the data.

the new pan’s quality rating can be approximated by fitting a quadratic function to the data

the new pan’s quality rating can be approximated by fitting an exponential function to the data

According to the information given, the new pan’s quality rating can be approximated by finding a point on the scatter plot which corresponds to a similar price. True or false?

True

False

Easy

1min

The scatter plot below shows the altitude and average annual temperature of ten randomly selected locations on Earth.

Easy

5min

When CTech first released a digital application (an ‘app’) onto the market, the number of sales increased slowly at first, but then the number of sales started to increase very rapidly.

Easy

5min

The following exponential curve of best fit was used to model the set of data points:

$\left(8,0.02\right),\left(9,0.1\right),\left(10,0.3\right),\left(11.5,2\right),\left(13.5,15\right)$(8,0.02),(9,0.1),(10,0.3),(11.5,2),(13.5,15)

Easy

1min

Outcomes

I.F.BF.1

Write a function that describes a relationship between two quantities.

I.F.BF.1.a

Determine an explicit expression, a recursive process, or steps for calculation from a context.

I.F.LE.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

I.S.ID.6.a

Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

6.10 Fitting functions to exponential data

Interactive practice questions

Outcomes

I.F.BF.1

I.F.BF.1.a

I.F.LE.1

I.S.ID.6.a

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